Question

Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5

Answer 1

The point-slope equation is
$y = mx + b$
m, the slope is -4/5
$y = - \frac{4}{5} x + b$
We plug in the point (3,-2) to find b:
$( - 2) = - \frac{4}{5}(3) + b \\ - 2 = - \frac{12}{5} + b \\ - \frac{10}{5} = - \frac{12}{5} + b$
$\frac{2}{5} = b$

We can now plug in b to the equation:
$y = - \frac{4}{5} x + \frac{2}{5}$

Answer 2

Answer:

y + 2 = –4/5 (x – 3)

Step-by-step explanation: