Question

Fan and Medal

Determine the equation of the line that passes through the points (2,-5) and (7,0). Use the form y=mx+b.

Answer 1

The two points must evaluate the equation of the line, thus:

-5=m*2 + b and
0=m*7 +b

Solve the system by substracting each side:
-5-0 =2m +b -7m -b
-5=-5m
m=1

Now put m into one of the previous equations to find b:
0=1*7+b
b=-7

So the equation of the line is y=x - 7

Answer 2

Thank you