Grade 9 · Math · Algebra 1

9th grade Point-slope form: graph a line from it, and write an equation in it worksheet

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Point-slope form: graph a line from it, and write an equation in it

Grade 9 Math Worksheet - Challenge Me

NameDate

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

The slope is 2 cm per week. Ari's plant is 12 cm tall in week 3 and grows 2 cm each week. Using x for weeks and y for cm, what equation fits, in point-slope form?
The slope is -4 cm per hour. Luz's candle is 30 cm tall at hour 2 and burns down 4 cm each hour. Using x for hours and y for cm, what equation fits, in point-slope form?
The slope is -150 mL per hour. Tala's water bottle holds 900 mL at hour 1 and loses 150 mL each hour. Using x for hours and y for mL, what equation fits, in point-slope form?
“The line is y − 5 = 2(x + 1)” Pia's line is y − 5 = 2(x + 1). What is y when x = 5?
“The line is y + 5 = (1/2)(x − 2)” Bo's line is y + 5 = (1/2)(x − 2). What is y when x = 10?
6.
Check the row 3 | 1 in each choice. Milo's line is y − 1 = 2(x − 3). Which rule in y = mx + b form is the same line?
- y = 2x − 7
- y = 2x − 6
- y = 2x − 2
- y = 2x − 5
7.
Check the row 2 | -1 in each choice. Zee's line is y + 1 = 3(x − 2). Which rule in y = mx + b form is the same line?
- y = 3x − 7
- y = 3x − 5
- y = 3x − 3
- y = 3x − 6
8.
Check the row 2 | 3 in each choice. Kira's line is y − 3 = -4(x − 2). Which rule in y = mx + b form is the same line?
- y = -4x + 8
- y = -4x + 11
- y = -4x + 5
- y = -4x + 1
9.
“Both rows are on y − 4 = 3(x − 2)” Esme's line is y − 4 = 3(x − 2). Which equation is the same line, written from another point?
- y − 10 = 3(x − 4)
- y − 4 = 3(x − 4)
- y − 10 = 4(x − 4)
- y − 10 = 3(x − 2)
10.
“Both rows are on y − 3 = 2(x + 1)” Ari's line is y − 3 = 2(x + 1). Which equation is the same line, written from another point?
- y − 9 = 2(x + 1)
- y − 9 = 2(x − 2)
- y − 3 = 2(x − 2)
- y − 9 = 3(x − 2)

9th grade Point-slope form: graph a line from it, and write an equation in it worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Point-slope form: graph a line from it, and write an equation in it. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can read a point and the slope from y − 4 = 3(x − 2).
I can write a line in point-slope form from a point and slope, or from two points.
I can change point-slope form to y = mx + b.

Standard: F-IF.C.7a, A-CED.A.2, F-LE.A.2

Words to know

point-slope form: y − y1 = m(x − x1): the line through (x1, y1) with slope m.

distribute: Multiply the slope by both terms in the bracket.

Common mistakes

Your child put the y of the point with x and the x with y.

Your child wrote the opposite signs in point-slope form.

Your child read the slope as part of the point.

What to say

Ask: in y − 4 = 3(x − 2), which number goes with y?

Ask: does y − 5 mean the point's y is 5 or -5?

Ask: which number multiplies the bracket?

Questions parents ask

What is the most common mistake with point-slope form: graph a line from it, and write an equation in it?

Your child put the y of the point with x and the x with y.

How can I help my child with point-slope form: graph a line from it, and write an equation in it?

Ask: in y − 4 = 3(x − 2), which number goes with y?

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

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