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Geometry Lesson 3.1 Linear equations in slope-intercept form

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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.

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1.

Today, I am feeling ____ !

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2.

My friend, , is feeling today!

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3.

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

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4.

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

  • Write linear equation in form

  • Find the slope and the y-intercept when given points.

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Draggable itemarrow_right_altCorresponding Item

b

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Slope-Intercept form

y = mx + b

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the input value

m

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the output value

y

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ordered pair on the line

x

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the slope of the line

(x, y)

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the y-intercept of the line

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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 +

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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
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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 +

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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 +

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10.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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:

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13.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

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:

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15.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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:

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

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: