Question

Write the equation in slope-intercept form of the line that has a slope of -5 and a y-intercept of 2.

Answer 1

Hi!

Slope intercept form is in the form y=mx+b
m is the slope, and that is given so we can plug that into the equation

y = -5x + b

We are also given the y-intercept (0,2) and we can plug that into the equation as well, to find b

2 = 5(0) + b
2 = b

So now that we know both m and b, plug only those two into the equation.
y = -5x + 2

That is your equation