Geometry Lesson 3.1 Linear equations in slope-intercept form

Posljednje ažuriranje almost 2 years ago

22 questions

Instrukcije

Obavezno

A1.C.2.b

Geometry Lesson 3.1 Linear equations in slope-intercept form

Posljednje ažuriranje almost 2 years ago

22 questions

Instrukcije

This is a review lesson over 2-variable linear equations learned in Algebra 1. Students are expected to be able to write linear equations using the slope and y-intercept. There are 3 different objectives: Students will be able to (1 - easy) write the equation when given slope and y-intercept, (2 - medium) write the equation when given slope and one point, and (3 - hard) write the equation when given 2 points.

Obavezno

Today, I am feeling ____ !

Obavezno

My friend, , is feeling today!

Obavezno

Essential Question: How do I write a equation in form when given 2 points?

Obavezno

Learning Objectives: In this lesson, I will learn to...

Write linear equation in form
Find the slope and the y-intercept when given points.

Stavka koja se može prevući		Odgovarajuća stavka
b		Slope-Intercept form
y = mx + b		the input value
m		the output value
y		ordered pair on the line
x		the slope of the line
(x, y)		the y-intercept of the line

A line has a y-intercept of 6 and a slope of 10. Write the equation of the line in slope-intercept form.

y = x +

Find the slope given 2 points and write the equation for the line containing these points.

m =

Use the point (15, 10) to find the "b" value:

y = mx + b

= ( )( ) + b

= + b

= b

Write the equation using m and b:

y = x + Or

is the simplified version.

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m = -5/6
y-intercept b = 2

This is the (easy, medium, or hard?) case?

Equation: y = x +

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m = 1/2
y-intercept b = -3/2

This is the (easy, medium, or hard?) case?

Equation: y = x +

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =-3
y-intercept b = 12

This is the (easy, medium, or hard?) case?

Equation:

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =-3/5
y-intercept b = -1/5

This is the (easy, medium, or hard?) case?

Equation:

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =-3/4
y-intercept b = -6

This is the (easy, medium, or hard?) case?

Equation:

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =3/5
passes through point: (11,6)

This is the (easy, medium, or hard?) case?

Use the given point to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =0
y-intercept b =-9/4

This is the (easy, medium, or hard?) case?

Equation:

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =-4/5
y-intercept b =-3/5

This is the (easy, medium, or hard?) case?

Equation:

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =2
passes through point: (-12,-16)

This is the (easy, medium, or hard?) case?

Use the given point to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =2/5
passes through point: (-5,18)

This is the (easy, medium, or hard?) case?

Use the given point to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

passes through points: (-13,8) and (7,-4)

This is the (easy, medium, or hard?) case?

Use the two give points to find the slope:

m= =

Use the point (7,-4) to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

slope m =3/4
passes through point: (12,-7)

This is the (easy, medium, or hard?) case?

Use the given point to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

passes through points: (-19,17) and (17,-19)

This is the (easy, medium, or hard?) case?

Use the two give points to find the slope:

m= =

Use the point (17,-19) to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

passes through points: (-14,-10) and (7,-4)

This is the (easy, medium, or hard?) case?

Use the two give points to find the slope:

m= =

Use the point (7,-4) to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b

Use the given information to write a linear equation in slope-intercept form y = mx + b.

passes through points: (-5,10) and (4,-8)

This is the (easy, medium, or hard?) case?

Use the two give points to find the slope:

m= =

Use the point (4,-8) to find the y-intercept, b:

= ( ) + b

= + b

= b

Equation:

A1.C.2.b