Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2