Point-Slope Form of a Line Answers

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Anya graphed the line (y−2)=3(x−1) on the coordinate grid.

Question illustration
A
−3
B
−1
C
1
D
3
2
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Which graph matches the equation y+3=2(x+3)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?

Question illustration
A
y + 2 =(x + 3)
Option A
B
y – 2 = (x – 3)
Option B
C
y + 3 = (x + 2)
Option C
D
y – 3 = (x – 2)
Option D
4

Which equation represents a line that passes through (5, 1) and has a slope of ?

Question illustration
A
y – 5 = (x –1)
Option A
B
y – = 5(x –1)
Option B
C
y – 1 = (x –5)
Option C
D
y – 1 = 5
Option D
5

What is the slope of the line with equation y−3=(x−2)?

Question illustration
A
–2
B
Option B
C
StartFraction one-half EndFraction
Option C
D
2
6

What is the slope of the line whose equation is y−4=(x−2)?

Question illustration
A
Option A
B
Option B
C
StartFraction 2 Over 5 EndFraction.
Option C
D
StartFraction 5 Over 2 EndFraction.
Option D
7

Which equation represents a line that passes through (–2, 4) and has a slope of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?

A
(7, 3)
B
(0, 7)
C
(7, 0)
D
(3, 7)
9

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

A
f(x) = –3x – 6
B
f(x) = –3x – 4
C
f(x) = –3x + 16
D
f(x) = –3x + 14
10

Which graph matches the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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