Answer:
y=x-8
Explanation:
The slope intercept equation is y=mx+b
First, we can find the slope(m) of this line y2-y1/x2-x1
So: 1-(-4)/(9-4) which equals 5/5 which equals 1.
equation: y=1x+b
Now, we need to find the y-intercept (b) so we can plug in one of the given points into the equation. I am going to use the point (9,1):
1=1(9)+b
1=9+b
-8=b
so the y intercept is -8
therefore our final equation is y=x-8