Question

Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)

Answer 1

Explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

`(y - y1) = m(x - x1)`

Now, keep all values.

`(y + 4) = ( - 3)/(5) (x - 4)`

Now, simplify to get answer.

`5(y + 4) = - 3(x - 4)`

`5y + 20 = - 3x + 12`

`5y = - 3x + 12 - 20`

`5y = - 3x - 8`

`y = ( - 3)/(5) x - (8)/(5)`

Therefore the equation is y = -3/5x - 8/5.

Hope it helps...