AnswersNC-Foundations of Math 1 Fall 2nd 9 WeeksWriting Linear Functions

Writing Linear Functions Answers

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What is the y-intercept of a line that has a slope of and passes through point (8, 3)?

Question illustration
A
1
B
3
C
5
D
11
2
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Which is the equation of a line that has a slope of and passes through point (–3, –1)?

Question illustration
A
y = negative two-thirds x + 1
Option A
B
y = negative two-thirds x + 3
Option B
C
y = negative two-thirds x minus 1
Option C
D
y = negative two-thirds x minus 3
Option D
3

What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?

A
y minus (negative 3) = negative 4 (x minus 1)
Option A
B
y minus 1 = negative 4 left-bracket x minus (negative 3) right-bracket
Option B
C
Negative 1 minus y 1 = negative 4 (negative 3 minus x 1)
Option C
D
3 minus y 1 = negative 4 (1 minus x 1)
Option D
4

The equation is written in point-slope form. What is the equation written in slope-intercept form?

Question illustration
A
y = 6x + 11
B
y = 6x – 1
C
y = 6x – 4
D
y = 6x + 6
5

Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below. Step 1: Step 2: Step 3: Step 4: Step 5: y = 3x – 13Analyze the steps. In which step did the Jolon make an error?

Question illustration
A
He switched the x- and y- values in step 1.
B
He multiplied incorrectly in step 2.
C
He added 15 to both sides in step 3.
D
He forgot to add the b-value in step 5.
6

What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

A
–10
B
–4
C
3
D
7
7

Which is the equation of a line that has a slope of and passes through point (2, –3)?

Question illustration
A
y = one-half x minus 4
Option A
B
y = one-half x minus 2
Option B
C
y = one-half x + 2
Option C
D
y = one-half x + 3
Option D
8

A line has a slope of and passes through point . What is the value of the y-intercept?

Question illustration
A
–0.6
B
–0.4
C
0.275
D
0.525
9

The equation is written in point-slope form. What is the y-intercept of the equation?

Question illustration
A
Negative StartFraction 11 Over 2 EndFraction
Option A
B
Negative one-half
Option B
C
One-half
Option C
D
Three-halves
Option D
10

Maria wrote the equation of a line that has a slope of and passes through point (3, 5). Which statement is true?

Question illustration
A
The y-intercept is 4.
B
The slope-intercept equation is .
Option B
C
The point-slope equation is .
Option C
D
The line also passes through the point (0, –2).

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