Question

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

Answer 1

Step-by-step 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.

$(y + 4) = \frac{ - 3}{5} (x - 4)$

Now, simplify to get answer.

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

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

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

$5y = - 3x - 8$

$y = \frac{ - 3}{5} x - \frac{8}{5}$

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

Hope it helps...