Problem

find the slope and y-intercept of the line that is  \green{\text{perpendicular}}perpend icularstart color #28ae7b, start text, p, e, r, p, e, n, d, i, c, u, l, a, r, end text, end color #28ae7b  to  \blue{y = -\dfrac{2}{3} x + 5}y=−32x+5start color #6495ed, y, equals, minus, start fraction, 2, divided by, 3, end fraction, x, plus, 5, end color #6495edand passes through the point  \red{(-6, -4)}(−6,−4)

The slope is 3/2 and y-intercept is 5.

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The question states:

Find the slope and y-intercept of the line that is perpendicular to

and passes through the point (-6, -4)

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From functions, we know that if two lines, called line 1 and line 2, are perpendicular, then it is true that:

If the given line is called line 1, then:

Then:

On the other hand, the y-intercept can be found as:

Find the slope is 3/2 and y-intercept is 5.

answer: d. $20

step-by-step explanation:

just took the test