Question

A line passes through the point (-1,-5) and has a slope of -5.

Answer 1

hello!

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

$\boxed{y-y1=m(x-x1)}$

y1 = -5

m=-5

x1=-1

$\boxed{y-(-5)=-5(x-(-1)}$

$\boxed{y+5=-5(x+1)}$

Convert to slope-intercept:-

$\boxed{y+5=-5x-5}$

$\boxed{y=-5x-5-5}$

Finally,

$\bigstar{\boxed{\pmb{y=-5x-10}}$

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)