Question

point slope form parallel to y=-2/3x+8 that passes though (4,-5)

Answer 1

ANSWER

$y + 5 = - \frac{2}{3} (x - 4)$

EXPLANATION

The given line has equation:

$y = - \frac{2}{3} x + 8$

The slope of this line is;

$m=-\frac{2}{3}$

The line that is parallel to this line also has the same slope.

If the line passes through (4,-5), then the point-slope form is given by;

$y-y_1=m(x-x_1)$

We substitute the slope and the point to get,

$y + 5 = - \frac{2}{3} (x - 4)$