Answers4413VA ALGEBRA 3 SEM APoint-Slope Form of a Line

Point-Slope Form of a Line Answers

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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)
2
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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
3

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)
4

Which graph matches the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

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
6

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
7

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

Question illustration
A
−3
B
−1
C
1
D
3
8

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

Question illustration
A
y – = (x – 4)
Option A
B
y – = (x – 4)
Option B
C
y – = 4(x – )
Option C
D
y – 4 = (x – )
Option D
9

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
10

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

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