Question

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

Answer 1

Solve for b in (y=mx+b):

b=y-mx

b=2-(1/4)(-4)

b=2+1

b=3

So the equation is y= (1/4)x + 3

Answer 2

y=1/4x+3

Explanation:

To write an equation, let's infer we need to write it in slope-intercept form. We need the y-intercept. We can plug 1/4 and (-4,2) into y=mx+b, to solve for b. We have:

2=1/4*-4+b

2=-1+b

3=b

Since we have the slope, 1/4, we can create our equation:

y=1/4x+3