SOLUTION: I need to find the answer to both the slope and y-intercept. This is not the actual problem but the example I'm working with and it is not showing all the steps I need to understan

Algebra ->  Linear-equations -> SOLUTION: I need to find the answer to both the slope and y-intercept. This is not the actual problem but the example I'm working with and it is not showing all the steps I need to understan      Log On


   

Question 850123: I need to find the answer to both the slope and y-intercept. This is not the actual problem but the example I'm working with and it is not showing all the steps I need to understand where the answers are coming from. Below is the example problem I'm working with. Can you please show all steps to the answer for a better understanding?
give the slope and y-intercept for the line that passes through the pair of points (-7,9) and (6,12)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%2812-9%29%2F%286-%28-7%29%29=3%2F13
Now use the point slope form with either point,
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-12=%283%2F13%29%28x-6%29
Now convert to slope-intercept form.
y=mx%2Bb
y-12=%283%2F13%29x-%2818%2F13%29
y=%283%2F13%29x-%2818%2F13%29%2B%28156%2F13%29
y=%283%2F13%29x%2B%28138%2F13%29