Point-Slope Form of a Line Answers

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Which equation represents a line that passes through (–9, –3) and has a slope of –6?

A
y – 9 = –6(x – 3)
B
y + 9 = –6(x + 3)
C
y – 3 = –6(x – 9)
D
y + 3 = –6(x + 9)
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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
3

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
4

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

Question illustration
A
−3
B
−1
C
1
D
3
5

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.

Question illustration
A
−3,000
B
−2,000
C
2,000
D
3,000
6

Which graph matches the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which equations and/or functions represent the graphed line? Select three options.y – 3 = (x – 2)

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
y – 3 = (x – 2)
Option D
E
Option
Option E
8

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:Step 1: Choose a point on the line, such as (2, 5).Step 2: Choose another point on the line, such as (1, 3).Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .Step 4: Substitute those values into the point-slope form.y – y1 = m(x – x1)y – 3 = (x – 1)Which of Talia’s steps is incorrect?

Question illustration
A
Step 1 is incorrect because it uses a point that is not on the line.
B
Step 2 is incorrect because it uses a point that is not on the line.
C
Step 3 is incorrect because it shows an incorrect ratio for the slope.
D
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
9

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
10

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

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