Answer:
y = x-5
Explanation:
The form of slope intercept is y=mx+b]
To solve :
First you need to find the slope
To find the slope, you the slope equation, which is y2-y1/x2-x1
Since first you put y2-y1 at the top, it would be 14-15 and then 19-20 at the bottom since x2-x1 is put at the bottom.
Your slope equation should be : m=14-15/19-20, which should give you m=-1/-1 with m being 1.
Then you plug in the value in the slope intercept equation
To help us find the y intercepts, lets choose one our points. In this case, we will be using (20,15) since it is the first point.
Slope intercept form is y=mx+b.
we do 15= 1 x 20 +b
15=20+b, gives you b=-5
How you got b=-5:
1)Put the equation into this by switching sides :
1 (20)+b=15
2) Get rid of the parenthases :
1 x 20 + b=15
3) multiply :
1 x 20=20, so
20+b=15
4) On both sides, subtract 20
so it would be
20+b-20=15-20, which gives you b=-5