Question

A line passes through the point 4,8 and has a slope of 3/2 .

Write an equation in slope-intercept form for this line.

Answer 1

y=3/2x +2

Explanation:

First, the format for slope intercept form looks like this: y=mx+b. First, plug in your slope to the equation. It should look like this: y=3/2x+b. Next, in order to find your y-intercept, plug in your coordinate to the equation. This is what you should have now: 8=3/2(4) + b. Multiply 3/2 by 4 to get 6. Now, this is what it should look like: 8=6+b. Subtract 6 from both sides to get 2=b. Now, go back to your original equation and plug in 2 to where b is. This is your final answer: y=3/2x +2. Hope this helped.