Question

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

Answer 1

The answer is

`y = - (2)/(5) x - 2 \\`

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 = - (2)/(5) (x - 5) \\ y + 4 = - (2)/(5) x + 2 \\ y = - (2)/(5) x + 2 - 4`

We have the final answer as

`y = - (2)/(5) x - 2 \\`

Hope this helps you