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Slope-Intercept Form Mastery

A comprehensive worksheet for Grade 12 students to master slope-intercept form, including identifying, graphing, and writing linear equations.

Grade 12 Math AlgebraLinear EquationsSlope-intercept Form
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSF.IF.C.7A

Topics

AlgebraLinear EquationsSlope-Intercept FormGraphing
8 sections · Free to use · Printable
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Slope-Intercept Form Mastery

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the slope of the line represented by the equation y = -3x + 5?

a

3

b

-3

c

5

d

1/3

2. Which of the following equations is in slope-intercept form?

a

2x + 3y = 6

b

y - 4 = 2(x + 1)

c

y = (1/2)x - 7

d

x = 5

3. In the slope-intercept form equation y = mx + b, 'm' represents the   and 'b' represents the  .

4. A horizontal line has a slope of  , and its equation in slope-intercept form is  .

5. Write the equation of a line with a slope of 2 and a y-intercept of -4.

6. Convert the equation 3x + 2y = 8 into slope-intercept form. Show your work.

7. Graph the line represented by the equation y = (1/2)x - 3 on the coordinate plane below.

-10-8-6-4-2246810-10-8-6-4-2246810

8. The y-intercept of the line y = -x + 1 is (0, 1).

T

True

F

False

9. A line with a positive slope rises from left to right.

T

True

F

False

10. A taxi company charges a flat fee of $3.00 plus $2.50 per mile. Write an equation in slope-intercept form that represents the total cost (y) for a ride of x miles.

11. Find the equation of the line that passes through the points (2, 5) and (4, 9). Write your answer in slope-intercept form.