Question

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

Answer 1

Answer:

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

C is correct equation.

Step-by-step explanation:

We are given a point and slope of a line. Using point slope form formula to find the equation of line and match the correct option.

Formula:

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

where,

$slope (m)=-\frac{4}{5}$

$Point:(x_1,y_1)\rightarrow (3,-2)$

Equation of line:

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

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

Thus, C is correct equation of given information.

Answer 2

The third option: 

y - (-2) = -4/5(x - 3)
y + 2 = -4/5(x - 3)