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Ugo [173]
2 years ago
6

Find an equation of the line passing through the point (-4,6) that is perpendicular to the line y=7/2x+5. Work please.

Mathematics
1 answer:
kondaur [170]2 years ago
8 0

Answer:

y = -\frac{2}{7}x + 4\frac{6}{7}

Step-by-step explanation:

We are to find the equation of line 1 which passes through point (-4,6)

Line 1 is perpendicular to line 2.

The equation of line 2 is; y = \frac{7}{2}x + 5

The slope of line 2 is  \frac{7}{2}

Because the product of two perpendicular line is -1;

The slope of line 1 is -1 ÷  \frac{7}{2} =  \frac{-2}{7}

Taking another point (x,y) on line 1;

Slope = change in y ÷ change in x

\frac{-2}{7} = \frac{y - 6}{x - -4}

y - 6 =  \frac{-2}{7}(x + 4)

y - 6 =  \frac{-2}{7}x - \frac{8}{7}

y =  \frac{-2}{7} - \frac{8}{7} + 6

y = -\frac{2}{7}x + 4\frac{6}{7}

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