Slope: 1/4 Y-intercept: 5
Step-by-step explanation:
To find the slope, you have to use rise over run using two different points. Any combination of points will give the same answer, so we can just use the first two:
(8-6)/(12-4) = 2/8 = 1/4
The slope is 1/4.
To find the y-intercept, you can use y=mx+b and plug in any point's x and y value as well as the slope (1/4) for m, and then isolate b. We can use the point (4,6):
6 = (1/4)*4 + b
6 = 1 + b
5 = b
The y intercept is 5.