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sattari [20]
3 years ago
13

Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2

y=3x-1
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0
Rearrange the given equation in slope intercept form
y =  \frac{3x - 1}{ - 2}  \\ y =  -  \frac{3}{2}  x +  \frac{1}{2}
slope of the required line is
-  \frac{1}{  - \frac{3}{2} }  =  \frac{2}{3}
equation is given by
y - y1 = m(x - x1) \\ y -  - 4 =  \frac{2}{3} (x - 5) \\ y + 4 =  \frac{2x}{3}  -  \frac{10}{3}  \\ y =  \frac{2x}{3}  -  \frac{10}{3}  - 4 \\ y =  \frac{2}{3} x -  \frac{22}{3}
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