Question

Which function passes through the points (2,3) and (4,4)

Answer 1

Answer:

y = 1/2x + 2

Step-by-step explanation:

First, we find the slope of the line by subtracting the x- and y-values of each point, and dividing that:

(4-3)/(4-2) = 1/2

So, our slope is 1/2. Then, we insert this into a y = mx + b equation using one of our points to find the y-intercept (b). I used the point (2, 3):

3 = 1/2(2) + b

3 = 1 + b

b = 2

Now that we have our slope and the y-intercept, we can create a function: y = 1/2x + 2.

Answer 2

Answer:

C, Because if you draw a graph, the line y=1/2x+2 lines up with (2,3) and (4,4),