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 − 2
- y = 2x − 6
- y = 2x − 5
- y = 2x − 7
7.
“Both rows are on y − 5 = 2(x − 1)” Ren's line is y − 5 = 2(x − 1). Which equation is the same line, written from another point?
- y − 7 = 3(x − 2)
- y − 7 = 2(x − 2)
- y − 7 = 2(x − 1)
- y − 5 = 2(x − 2)
8.
“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 = 4(x − 4)
- y − 10 = 3(x − 4)
- y − 10 = 3(x − 2)
- y − 4 = 3(x − 4)
9.
“Both rows are on y − 1 = -2(x − 3)” Noah's line is y − 1 = -2(x − 3). Which equation is the same line, written from another point?
- y − 5 = -2(x − 3)
- y − 1 = -2(x − 1)
- y − 5 = -(x − 1)
- y − 5 = -2(x − 1)
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 − 3 = 2(x − 2)
- y − 9 = 2(x − 2)
- y − 9 = 3(x − 2)
- y − 9 = 2(x + 1)

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

Answer Key - Grade 9 Math Worksheet - Challenge Me

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?
y − 12 = 2(x − 3)
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?
y − 30 = -4(x − 2)
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?
y − 900 = -150(x − 1)
“The line is y − 5 = 2(x + 1)” Pia's line is y − 5 = 2(x + 1). What is y when x = 5?
17
“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?
-1
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 − 2
- y = 2x − 6
- y = 2x − 5
- y = 2x − 7
7.
“Both rows are on y − 5 = 2(x − 1)” Ren's line is y − 5 = 2(x − 1). Which equation is the same line, written from another point?
- y − 7 = 3(x − 2)
- y − 7 = 2(x − 2)
- y − 7 = 2(x − 1)
- y − 5 = 2(x − 2)
8.
“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 = 4(x − 4)
- y − 10 = 3(x − 4)
- y − 10 = 3(x − 2)
- y − 4 = 3(x − 4)
9.
“Both rows are on y − 1 = -2(x − 3)” Noah's line is y − 1 = -2(x − 3). Which equation is the same line, written from another point?
- y − 5 = -2(x − 3)
- y − 1 = -2(x − 1)
- y − 5 = -(x − 1)
- y − 5 = -2(x − 1)
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 − 3 = 2(x − 2)
- y − 9 = 2(x − 2)
- y − 9 = 3(x − 2)
- y − 9 = 2(x + 1)