Question

Use slope-intercept form to write the equation of a line that has a slope of −3 and passes through the point (1, −5).

y=
x=
m=

Answer 1

y=-3x-2

Explanation:

The slope-intercept form is y=mx+b

where m is slope and b is y-intercept.

Substitute m=-3 and point (x,y)=(1,-5) into the equation:

-5=-3(1)+b

-5=-3+b

b=-5-(-3)=-5+3=-2

Therefore, the required equation:

y=-3x-2