Mathematics: Aline contains the point (–3, –4) and is perpendicular to a line with a slope of 3/5. write an equation of the line satisfying the given conditions. write the answer in slope-intercept form.

Aline contains the point (–3, –4) and is perpendicular

getsic

13.01.2022

$y = -\frac{5}{3}x -9$

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. Since the slope of one line is 3/5, its perpendicular line will have the slope of -5/3.

Substitute m = -5/3 and (-3,-4) into the point slope form of a line.

$y - y_1 = m(x-x_1)\\y - -4 = \frac{-5}{3}(x --3)\\y + 4 = -\frac{5}{3}(x +3)\\y + 4 = -\frac{5}{3}x -5 \\ y = -\frac{5}{3}x -9$

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adrian128383

15.05.2022

idek man

Step-by-step explanation:

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