We have the next two points:
- (1/2,5)
- (5/2,9)
And we must use the point-slope formula to write an equation of a line in slope-intercept
First, we need to calculate the slope of the line using the point-slope formula

Where (x1, y1) and (x2, y2) are the two points
Now, replacing the points

Now, we must replace the slope and one of the two points in the point-slope formula:

Replacing m = 2 and (1/2, 5)

Finally, we must simplify to obtain the slope-intercept form

ANSWER:
y = 2x + 4