Question

Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.

Answer 1

Answer:

The answer is

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

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

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

We have the final answer as

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

Hope this helps you