Answer:
Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.
Step-by-step explanation:
The equation for the slope, m, of a line is:
m=y1−y0x1−x0 [1]
The equation f(2)=−1 tells us that x0=2andy0=−1; substitute this into equation [1]:
m=y1−−1x1−2 [2]
The equation f(5)=4 tells us that x1=5andy1=4; substitute this into equation [2]:
m=4−−15−2 [3]
m=53
Substitute 53 for m into the equation y=m(x)+b
y=53x+b [4]
Substitute 2 for x and -1 for y and the solve for b:
−1=53(2)+b
b=−133
Substitute −133 for b in equation [4]:
y=53x−133 [5]
Check:
−1=53(2)−133
4=53(5)−133
−1=−1
4=4
Hope this helps