Question

What is the equation of the line that passes through the point (5,-2) and has a slope of -2\5

Answer 1

Answer:

The answer is

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

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 point is ( 5 , - 2) and slope is - 2/5

The equation of the line is

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

We have the final answer as

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

Hope this helps you