HelpingWithMath.com Home Page

Show Answers

Using and Converting to Slope Intercept Form

Before you start!

This 2-page worksheet gives more practice on equations in Slope Intercept Form (y = mx + b). These examples here show how the y-intercept is found, how to convert linear equations from standard to slope intercept form, and how to use this form to solve problems on slope and on the points on the line.

------ Note: The Information above this point will not be sent to your printer --------

Equations in Slope Intercept Form (page 1 of 2)

Name:______________________

Convert the linear equations below given in standard form into Slope Intercept Form and write the slope and y-intercept for each. (the first one is done for you)

 

3x + 2y = 10

2y = -3x + 10

y = (-3x ÷ 2) + (10 ÷ 2)

y = -1.5x + 5
Slope is: -1.5
y-intercept is: 5

 

2x - 4y = 12

-4y = -2x + 12

y = (-2x ÷ (-4)) + (12 ÷ (-4))

y = 0.5x - 3
Slope is: 0.5
y-intercept is: -3

 

3x + 5y = 20

5y = -3x + 20

y = (-3x ÷ 5) + (20 ÷ 5)

y = -0.6x + 4
Slope is: -0.6
y-intercept is: 4

 

-x - 6y = 18

-6y = x + 18

y = (x ÷ (-6)) + (18 ÷ (-6))

y = -0.167x - 3
Slope is: -0.167
y-intercept is: -3

 

5x + 8y = 25

8y = -5x + 25

y = (-5x ÷ 8) + (25 ÷ 8)

y = -0.625x + 3.125
Slope is: -0.625
y-intercept is: 3.125

 

-3x + 12y = 24

12y = 3x + 24

y = (3x ÷ 12) + (24 ÷ 12)

y = 0.25x + 2
Slope is: 0.25
y-intercept is: 2

--------- Page Break-------------End of Page 1

Show Answers

Equations in Slope Intercept Form (page 2 of 2)

Name:______________________

Find the equation of each of the lines (in slope intercept form) based on their slope and on a point through which each passes. (the first one is done for you)

Line passes through (3,1) with a slope of 2.

y = 2x + b
substituting x and y with 3 and 1 gives ...
1 = (3 x 2) + b, ∴ b = 1 - 6, ∴ b = -5
equation of line is: y = 2x - 5

Line passes through (5,8) with a slope of 2.

y = 2x + b
substituting x and y with 3 and 1 gives ...
8 = (2 x 5) + b, ∴ b = 8 - 10, ∴ b = -2
equation of line is: y = 2x - 2

Line passes through (-4,2) with a slope of 3.

y = 3x + b
substituting x and y with -4 and 2 gives ...
2 = (3 x -4) + b, ∴ b = 2 - (-12), ∴ b = 14
equation of line is: y = 3x + 14

Line passes through (5,-2) with a slope of -0.5.

y = -0.5x + b
substituting x and y with 5 and -2 gives ...
-2 = (-0.5 x 5) + b, ∴ b = -2 + 2.5, ∴ b = 0.5
equation of line is: y = -0.5x + 0.5

 

 

----End of Page 2

------ Note: The Information below this point will not be sent to your printer --------

An Expressions and Equations Worksheet    -    By HelpingWithMath.com

Related Resources

The various resources listed below are aligned to the same standard, (8EE06) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Example/Guidance

Worksheet

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Understand the connections between proportional relationships, lines, and linear equations

 

Home Page    |   About HelpingWithMath.com |   Privacy  |   Site Map