Question

Write an equation of the line (0,2) and (4,-1) in slope-intercept form

Answer 1

y = -¾x + 2

Explanation:

We can solve the equation of the line since we have 2 points. We can do this via substitution.

Slope-intercept form is y = mx + c

m is our gradient (slope), c is our y-intercept

The y-intercept is when x = 0, which we are given (0, 2)

So c = 2

Now we can find m by using the other point and c

-1 = 4m + 2

-3 = 4m

-¾ = m

Now we write the equation of our line

y = -¾x + 2