Question

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

f(x) = –3x – 6
f(x) = –3x – 4
f(x) = –3x + 16
f(x) = –3x + 14

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Answer 1

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Answer 2

The linear function represents the line given by the point-slope equation y + 1 = –3(x – 5) is f(x) = -3x + 14.

What is point-slope equation?

"In a Point-slope form it is likely to be y - y1 = m(x - x1). This form of a linear equation is derived from a equation for finding the slope of a line."

Given

The point-slope equation y + 1 = –3(x – 5)

By solving the above equation

y + 1 = -3x + 15

⇒ y = -3x + 15 - 1

⇒ y = -3x + 14

Replace y with f(x)

⇒ f(x) = -3x + 14

Hence, the linear function represents the line given by the point-slope equation y + 1 = –3(x – 5) is f(x) = -3x + 14.

Learn more about point-slope equation here

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