Question

Look at the graph shown below: 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? (4 points) y = 3x + 1 over 2 y = 1 over 2 x − 3 y = 1 over 2 x + 3 y = 3x + 3

Answer 1

Explanation:

The general equation for a line is y = mx + b

b is the y intercept.

That means that the general equation becomes

y = mx + 3

because one of the points is on the y axis.

The other point will give you the slope (m)

when x = 2

y = 4

4 = 2m + 3 Subtract 3 from both sides

4 - 3 = 2m Combine

1 = 2m Divide by 2

m = 1/2

Well as near as I can read it, the third choice is the answer.

y = 1/2 x + 3