Answer:
b = 8 , m = - 5
Explanation:
For this question we can use simulteanous equations to solve for m and b.
We first come up with 2 equations.
Given the first condition:
23 = -3m + b
b - 3m = 23 (Equation 1)
Now the Second Condition:
-7 = 2m + b
b + 2m = -7 (Equation 2)
Now, we will use Equation 1 - Equation 2 to eliminate b to solve for m.
-3m - (+2m) = 23 - ( - 7)
- 5m = 30
m = 30 ÷ -6 = -5
Now we substitute m into Equation 1 to solve for b.
b - 3(- 5) = 23
b + 15 = 23
b = 23 - 15 = 8