Mathematics: what is the equation, in slope intercept form, of the line that is perpendicular to the line y - 4 = 2/3 (x -6) and passes through the point -2/-2

what is the equation, in slope intercept form,

deena7

29.01.2022

$y=-\frac{3}{2}x-5$

Step-by-step explanation:

First get the original equation to slope intercept form, $y=\frac{2}{3}x$

Then, find the negative reciprocal of the slope. $\frac{2}{3} - \frac{-3}{2}$

Start building the new line in slope intercept form.

$y-(-2) = (\frac{-3}{2} )(x-(-2))$

$y+2=(\frac{-3}{2})(x+2)$

$y+2-2=\frac{-3}{2}\left(x+2\right)-2$

$y=-\frac{3}{2}x-5$

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lukeperry

24.02.2022

34°

Step-by-step explanation:

The angle formed by two tangents is equal to half the difference of the intercepted arcs.

The first intercepted arc, between points A and C, is 146°. This leaves

360-146 = 214° for the second intercepted arc.

The difference between these two is

214-146 = 68°

Dividing this by 2,

68/2 = 34°

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