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

Step-by-step 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

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

8

step-by-step explanation: