Multiple Choice

Which equation is equivalent to y – 6 = –12(x + 4)?
(1 point)
Responses

y = –6x – 48
y = –6 x – 48

y = 6x – 48
y = 6 x – 48

y = –12x – 42
y = –12 x – 42

y = –12x – 54
y = –12 x – 54
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The correct answer is:

y = –6x – 48

Which point is located on the line represented by the equation y + 4 = –5(x – 3)?

(1 point)
Responses

(–4, –5)
(–4, –5)

(–5, –4)
(–5, –4)

(3, –4)
(3, –4)

(–3, 4)
(–3, 4)
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The correct answer is:

(3, -4)

Which equation represents the line that passes through the points (6, –3) and (–4, –9)?

(1 point)
Responses

y  + 4 = (x + 9)
y   + 4 = Image with alt text: three-fifths ( x + 9)

y + 4 = (x + 9)
y + 4 = Image with alt text: five-thirds ( x + 9)

y - 3 = (x + 6)
y  - 3 = Image with alt text: three-fifths ( x + 6)

y + 3 = (x – 6)
y + 3 = Image with alt text: three-fifths ( x  – 6)
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The correct answer is:

y - 3 = (x + 6)

The population of a city increases by 4,000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?

(1 point)
Responses

p = 4x + 50
p = 4 x + 50

p – 450 = 4(x – 15)
p – 450 = 4( x – 15)

p – 15 = 4(x – 450)
p – 15 = 4( x – 450)

p = 4x + 15
p = 4 x + 15
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The correct answer is:

p = 4x + 15