Question

Look at the graph shown: A coordinate plane graph is shown. A line passes through the y-axis at 3 and through the point 2 comma 4. Which equation best represents the line? y = 3x + 3 y = 1 over 2 x − 3 y = 1 over 2 x + 3 y = 3x + 1 over 2

Answer 1

Using the information given, one can solve to find the equation of the line using slope intercept formula y=mx+b.

Given the y-intercept, b, 3.

y=mx+3

Next, we can plug in the given point (2,4), to solve for the slope.

4=m(2)+3

Subtract 3 from both sides.

1=2m

divide by 2.

1/2=m

So, given m and b, you can make your equation:

y=1/2x+3

I believe that is answer choice C. Hope this helps!