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.
[tex](y - y1) = m(x - x1)[/tex]
Now, keep all values.
[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]
Now, simplify to get answer.
[tex]5(y + 4) = - 3(x - 4)[/tex]
[tex]5y + 20 = - 3x + 12[/tex]
[tex]5y = - 3x + 12 - 20[/tex]
[tex]5y = - 3x - 8[/tex]
[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]
Therefore the equation is y = -3/5x - 8/5.
Hope it helps...
