Answer:
m=3/2
Step-by-step explanation:
the line: y=mx+b
This line passes through the points
-> These points (x,y) are on the line
(-5/2,1) : x=-5/2 y=1
1=-5/2m+b
(-1/2,4) : x=-1/2 y=4
4=-1/2m+b
We have a system of equation:
1=-5/2m+b
4=-1/2m+b
After solving this, we have m=3/2 b=19/4
-> The slope is 3/2