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

NameDate

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

The slope is -2. Noah's line has slope -2 and passes through (3, -1). What equation fits, in point-slope form?
The slope is 4. Ari's line has slope 4 and passes through (-2, 5). What equation fits, in point-slope form?
The slope is 3. Luz's line has slope 3 and passes through (-4, -3). What equation fits, in point-slope form?
The slope is -3. Tala's line has slope -3 and passes through (6, 2). What equation fits, in point-slope form?
“The rule is y + 2 = 3(x − 4)” Jun's line is y + 2 = 3(x − 4). What is the rule in y = mx + b form?
“The rule is y − 5 = -3(x − 1)” Bo's line is y − 5 = -3(x − 1). What is the rule in y = mx + b form?
“The rule is y − 5 = 4(x + 2)” Milo's line is y − 5 = 4(x + 2). What is the rule in y = mx + b form?
“The rule is y + 1 = -2(x − 3)” Zee's line is y + 1 = -2(x − 3). What is the rule in y = mx + b form?
Read this first
Input–output table
x y
-1 2
3 10
Esme's line passes through (-1, 2) and (3, 10). Use the first point. What equation fits, in point-slope form?
Noah's line passes through (4, 1) and (8, 4). Use the first point. What equation fits, in point-slope form?

x	y
-1	2
3	10

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.

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

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.

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.

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?

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.

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