Answer:
The equation of the line is y = 1/5x + 18/5, which means the intercept is 18/5.
Explanation:
In order to find this, we need to start by finding the slope. To do that, we need to use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 3)/(7 - -3)
m = (5 - 3)/(7 + 3)
m = 2/10
m = 1/5
Now that we have the slope, we can use either point and the slope in slope intercept form to find the intercept.
y = mx + b
3 = 1/5(-3) + b
3 = -3/5 + b
18/5 = b