Grade 9 · Math · Algebra 1

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

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

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

Grade 9 Math Worksheet

NameDate

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

The line is 3x + 2y = 12. In math club, Ren meets 3x + 2y = 12. What rule in y = mx + b form gives the same line?
The line is 2x + 4y = 12. On a worksheet, Kira meets 2x + 4y = 12. What rule in y = mx + b form gives the same line?
The line is 5x + 2y = 10. In a puzzle book, Zee meets 5x + 2y = 10. What rule in y = mx + b form gives the same line?
The line is 4x + 3y = 18. In the warm-up, Milo meets 4x + 3y = 18. What rule in y = mx + b form gives the same line?
The line is 6x + 4y = 20. On a poster, Bo meets 6x + 4y = 20. What rule in y = mx + b form gives the same line?
Multiply by 3 to clear the fraction. In math club, Pia's rule is y = 2x/3 + 4. What is the same line in the form Ax + By = C, with whole numbers and A positive?
Multiply by 4 to clear the fraction. On a worksheet, Jun's rule is y = 3x/4 − 2. What is the same line in the form Ax + By = C, with whole numbers and A positive?
Multiply by 2 to clear the fraction. In a puzzle book, Tala's rule is y = 5x/2 + 3. What is the same line in the form Ax + By = C, with whole numbers and A positive?
Read this first
Input–output table
x y
0 5
4 -1
Solve for y to read the slope.
Ari sees the line 6x + 4y = 20 in math club. What is its slope?
Esme sees the line 10x + 4y = 12 in math club. What is its slope?

x	y
0	5
4	-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.

More algebra 1

See all Algebra 1

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records