Grade 9 · Math · Algebra 1

9th grade Change between Ax + By = C and y = mx + b, and read the slope and intercepts worksheet

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Change between Ax + By = C and y = mx + b, and read the slope and intercepts

Grade 9 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

The line is 2x + y = 9. Ren rewrites 2x + y = 9 by taking 2x from both sides: y = 9 − 2x. What is the rule in y = mx + b form?
The line is 3x + y = 5. Kira rewrites 3x + y = 5 by taking 3x from both sides: y = 5 − 3x. What is the rule in y = mx + b form?
The line is 4x + y = 9. Zee rewrites 4x + y = 9 by taking 4x from both sides: y = 9 − 4x. What is the rule in y = mx + b form?
The line is x + y = 6. Milo rewrites x + y = 6 by taking x from both sides: y = 6 − x. What is the rule in y = mx + b form?
Read this first
Input–output table
x y
0 8
1 5
2 2
3 -1
Bo rewrote 3x + y = 8 as y = 8 − 3x. What is the slope of the line?
Pia rewrote 2x + y = 9 as y = 9 − 2x. What is the slope of the line?
Jun rewrote 5x + y = 4 as y = 4 − 5x. What is the slope of the line?
The line is x + 4y = 20. Luz's line is x + 4y = 20. At x = 0 the row says 4y = 20. What is the y-intercept?
The line is 6x + 2y = 14. Noah's line is 6x + 2y = 14. At x = 0 the row says 2y = 14. What is the y-intercept?
The line is x + 3y = 18. Esme's line is x + 3y = 18. At x = 0 the row says 3y = 18. What is the y-intercept?

x	y
0	8
1	5
2	2
3	-1

9th grade Change between Ax + By = C and y = mx + b, and read the slope and intercepts worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Change between Ax + By = C and y = mx + b, and read the slope and intercepts. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can change 3x + 2y = 12 into y = mx + b and back.
I can read the slope and the y-intercept from Ax + By = C.
I can say what the numbers of a standard form mean in a story.

Standard: A-CED.A.4, A-CED.A.2

Words to know

standard form: Ax + By = C, with whole numbers and A positive.

slope-intercept form: y = mx + b: m is the slope, b is the y-intercept.

intercept: A place where the line meets an axis.

Common mistakes

Your child lost the minus sign when x moved to the other side.

Your child put the slope and the y-intercept in each other's place.

Your child read the number that stands alone as the slope.

What to say

Ask: when 2x is taken from both sides, what happens to the x term?

Ask: which number goes with x, and which stands alone?

Ask: which number is multiplied by x?

Questions parents ask

What is the most common mistake with change between ax + by = c and y = mx + b, and read the slope and intercepts?

Your child lost the minus sign when x moved to the other side.

How can I help my child with change between ax + by = c and y = mx + b, and read the slope and intercepts?

Ask: when 2x is taken from both sides, what happens to the x term?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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