Whats the answer to this???

Mathematics

1 answer:

IRISSAK [1]3 years ago

3 0

Answer:

y = $\frac{4}{3} x$ - 8

Step-by-step explanation:

The given line passes through (-4, 4) and (4, -2)

The slope of this line will be given by: Change in y ÷ change in x

Slope = $\frac{4 - -2}{-4 - 4}$ = $-\frac{6}{8}$ = $-\frac{3}{4}$

The slope of the given line times the slope of the perpendicular line = -1

Let's say the slope of the perpendicular line is p

Then, $-\frac{3}{4}$ × p = -1

p = -1 ÷ $-\frac{3}{4}$ = $\frac{4}{3}$

The perpendicular line passes through point (6, 0)

Taking another point (x, y) on the perpendicular line;

$\frac{y - 0}{x - 6}$ = $\frac{4}{3}$

Cross multiplying this gives the equation of the perpendicular line to be:

y = $\frac{4}{3} x$ - 8

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