Question

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

Answer 1

★ Question.

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

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★ Answer.

A linear function. ab be written in the 3 forms...

• Point slope--- y-y1 = m(x-x1).
• slope intercept ------. y=mx+b
• standard -------- ax+by= c

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$\large\longrightarrow y= -3x+14 \\ \longrightarrow 3x+y=14$

Answer 2

Concept Introduction:-

To determine a line's equation whose slope is unknown, use the slope of point form is 'm' and passes through a point $(x_{1}, y_{1})$.

Given Information:-

We have been given that the point-slope equation $y + 1 = –3(x – 5)$

To Find:-

We have to find that the linear function represents the line given by the point-slope.

Solution:-

According to the problem

The given point-slope equation is

$y + 1 = - 3 (x - 5)$

By further calculation

$y + 1 = -3x + 15\\y = -3x + 15 - 1\\y = -3x + 14$

Final Answer:-

The linear function which represents the line is $y = - 3x + 14$.

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