Question

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

Answer 1

The answer is

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

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

We have the final answer as

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

Hope this helps you