Question

What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?

Answer 1

y=1/4x+3

Explanation:

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y-2=1/4x+1

y=1/4x+1+2

y=1/4x+3

Answer 2

y = (1/4)x + 3

Explanation:

I have put my answer in slope-intercept form as that is usually the most common. Inputing the slope as "m" into the equation "y=mx+b" and substituting the x and y coordinates given to find b gives the equation "2=(1/4)(-4)+b" By solving this we get "b=3" to finish the equation.