Question

HELP!
Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Answer 1

slope-intercept form is y=mx+c
m=gradient or also known as the slope
c=y-intercept

so we use m=-3 and the point (4,-5)
and substitute it to find the value of c.
then just re-write the whole equation with the gradient and c.

Answer 2

or another method is using the find an unknown equation formula.
y-y1 = m(x-x1)
substitute the point (4,-5)
as (x1,y1)
and also m as the gradient
then rearrange into the form y = mx + c