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BOOKMARK
CHECK ANSWER
5 INhich line is perpendicular to the given line and passes through the point
(-8,3) ?
Given:
y=-4x-15
(A)
y=(1)/(4)x-5
(B)
y=-(1)/(4)x+1
(C)
y=(1)/(4)x+5
(D)
y=4x+3

BOOKMARK $\newline$ CHECK ANSWER $\newline$ $5$ INhich line is perpendicular to the given line and passes through the point $(-8,3)$ ? $\newline$ Given: $y=-4 x-15$ $\newline$ (A) $y=\frac{1}{4} x-5$ $\newline$ (B) $y=-\frac{1}{4} x+1$ $\newline$ (C) $y=\frac{1}{4} x+5$ $\newline$ (D) $y=4 x+3$

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Write an equation for a parallel or perpendicular line

Full solution

Q. BOOKMARK

\newline

CHECK ANSWER

\newline

5

INhich line is perpendicular to the given line and passes through the point

(-8,3)

?

\newline

Given:

y=-4 x-15

\newline

(A)

y=\frac{1}{4} x-5

\newline

(B)

y=-\frac{1}{4} x+1

\newline

(C)

y=\frac{1}{4} x+5

\newline

(D)

y=4 x+3

Given line equation: Given line equation: $y = -4x - 15$ . Slope of the given line: $-4$ .
Perpendicular slope: Perpendicular slope: Opposite reciprocal of $-4$ is $\frac{1}{4}$ .
Point-slope form: Use point-slope form with slope $\frac{1}{4}$ and point $(-8,3)$ to find equation of the perpendicular line. $\newline$ $y - 3 = \frac{1}{4}(x + 8)$ .
Simplify to slope-intercept form: Simplify to slope-intercept form: $y = \frac{1}{4}x + \frac{1}{4}(8) + 3$ .
Calculate: Calculate: $y = \frac{1}{4}x + 2 + 3$ .
Combine like terms: Combine like terms: $y = \frac{1}{4}x + 5$ .

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