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y = 1/2 x+4

Step-by-step explanation:

Slope intercept form is y = mx+b, where m equals the slope and b is the y-intercept.

The slope can be calculated using the formula .

I'll be plugging in (2,5) and (4,6) to calculate the slope.

m = (6-5)/(4-2) = 1/2

The y-intercept is the y-coordinate of where the line meets the y-axis. In the graph, you can see that the line intersects with the y-axis at (0,4). The y-coordinate of (0,4) is 4, so therefore it is the y-intercept.

Plugin m = 1/2 and b = 4 into the slope-intercept formula (y = mx+b), and you get y = 1/2 x+4

d

step-by-step explanation:

the two points from this line are   (0,4)   & (2,-2)

we can call

now, lets find the slope (m):

now finding b (the y intercept). this is the point at the y-axis where the line cuts the axis. looking at the graph, it is y = 4. so the point is 4. hence b = 4

the slope-intercept form is given by  

putting the points, we have:

d is the correct answer.