Question

What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5

Answer 1

The answer is

`y = - (6)/(5) x - 8 \\`

Explanation:

To find an equation of a line in point slope form 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 the slope is - 6/5

The equation of the line is

`y + 2 = - (6)/(5) (x + 5) \\ y + 2 = - (6)/(5) x - 6 \\ y = - (6)/(5) x - 6 - 2`

We have the final answer as

`y = - (6)/(5) x - 8 \\`

Hope this helps you