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2

Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?

y = -2x + 650

y = -10x + 640

y = 2x + 650

F.IF.4

F.LE.2

F.LE.5

Recall: The general equation used to represent slope-intercept form is:

This format is named slope-intercept form because the equation reveals the slope, m, and y-intercept, b.

1

Take Note: What is the general equation used to represent point-slope form?

y = mx+b

ax + by = c

ax + y = 2c -4z

2

1

Problem 1 Got It?

A

B

C

D

F.LE.2

1

A line passes thru the point (2, -8) with a slope of -3/4 . What is an equation written in point slope form using these values?

1

Problem 2 Got It? What is the slope of the line represented by the equation?

(4,-7)

(-4,5)

-\frac{4}{7}

-\frac{4}{5}

F.IF.7.a

1

Problem 2 Got It? What point on the line is indicated directly within the equation?

(4,-7)

(-4,5)

-\frac{4}{7}

-\frac{4}{5}

F.IF.7.a

3

Problem 2 Got It? What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.a

3

What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.a

1

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
HINT: Only two numbers will change in the equation.

y - 4 = \frac{7}{3}(x - 2)

y + 3 = \frac{7}{3}(x + 2)

y - 3 = \frac{7}{3}(x - 2)

F.LE.2

2

6

Given the following points (3,-5) and (1,-8), show work completing the following tasks:
a) find the slope.
b) write 2 equations in point-slope form using the points given.
c) Graph the line.
d) Convert the point slope equation to slope intercept form.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.a

2

F.LE.2

F.LE.5

2

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear.
Find the slope of the line then use any ordered pair from the table to write an equation of the line that models the data in point-slope form. Enter only the equation without spaces.

F.LE.2

F.LE.5

2

A.SSE.2

F.IF.4

F.LE.2

MRY Ch 2.2 Point-Slope Form (30 pts)

MRY Ch 2.2 Point-Slope Form (30 pts)

Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?

Take Note: What is the general equation used to represent point-slope form?

Problem 1 Got It?

A line passes thru the point (2, -8) with a slope of -3/4 . What is an equation written in point slope form using these values?

Problem 2 Got It? What is the slope of the line represented by the equation?

Problem 2 Got It? What point on the line is indicated directly within the equation?

Problem 2 Got It? What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
HINT: Only two numbers will change in the equation.

Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?

Take Note: What is the general equation used to represent point-slope form?

Take Note: Explain why point-slope form is given that name.

Problem 1 Got It?

A line passes thru the point (2, -8) with a slope of -3/4 . What is an equation written in point slope form using these values?

Problem 2 Got It? What is the slope of the line represented by the equation?

Problem 2 Got It? What point on the line is indicated directly within the equation?

Problem 2 Got It? What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
HINT: Only two numbers will change in the equation.

Choose "2" correct answers!
Using the points (2,4) and (3,6) select two possible equations written in point slope form.

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear.
What is the rate of change (or slope) of the water in the tank?

Problem 4 Got It? Refer to the point-slope form equation you created in the previous item. What does the slope represent?

Take Note: Explain why point-slope form is given that name.

Choose "2" correct answers!
Using the points (2,4) and (3,6) select two possible equations written in point slope form.

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear.
What is the rate of change (or slope) of the water in the tank?

Problem 4 Got It? Refer to the point-slope form equation you created in the previous item. What does the slope represent?

MRY Ch 2.2 Point-Slope Form (30 pts)

MRY Ch 2.2 Point-Slope Form (30 pts)

Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?

Take Note: What is the general equation used to represent point-slope form?

Problem 1 Got It?

A line passes thru the point (2, -8) with a slope of -3/4 . What is an equation written in point slope form using these values?

Problem 2 Got It? What is the slope of the line represented by the equation?

Problem 2 Got It? What point on the line is indicated directly within the equation?

Problem 2 Got It? What is the graph of the equation?Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the graph of the equation?Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.HINT: Only two numbers will change in the equation.

Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?

Take Note: What is the general equation used to represent point-slope form?

Take Note: Explain why point-slope form is given that name.

Problem 1 Got It?

A line passes thru the point (2, -8) with a slope of -3/4 . What is an equation written in point slope form using these values?

Problem 2 Got It? What is the slope of the line represented by the equation?

Problem 2 Got It? What point on the line is indicated directly within the equation?

Problem 2 Got It? What is the graph of the equation?Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the graph of the equation?Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.HINT: Only two numbers will change in the equation.

Choose "2" correct answers!Using the points (2,4) and (3,6) select two possible equations written in point slope form.

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear. What is the rate of change (or slope) of the water in the tank?

Problem 4 Got It? Refer to the point-slope form equation you created in the previous item. What does the slope represent?

Take Note: Explain why point-slope form is given that name.

Choose "2" correct answers!Using the points (2,4) and (3,6) select two possible equations written in point slope form.

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear. What is the rate of change (or slope) of the water in the tank?

Problem 4 Got It? Refer to the point-slope form equation you created in the previous item. What does the slope represent?

Problem 2 Got It? What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
HINT: Only two numbers will change in the equation.

Problem 2 Got It? What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the graph of the equation?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
HINT: Only two numbers will change in the equation.

Choose "2" correct answers!
Using the points (2,4) and (3,6) select two possible equations written in point slope form.

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear.
What is the rate of change (or slope) of the water in the tank?

Choose "2" correct answers!
Using the points (2,4) and (3,6) select two possible equations written in point slope form.

Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear.
What is the rate of change (or slope) of the water in the tank?