Answer :
Answer:
b = 8 , m = - 5
Step-by-step 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
Answer: m=-6 b=5
Step-by-step explanation:
f(x)=mx+b
f(-3)=23 f(2)=7
[tex]\displaystyle\\\left \{ {{23=(m)(-3)+b} \atop {-7=(m)(2)+b}} \right. \ \ \ \ \left \{ {{23=-3m+b\ \ \ \ (1)} \atop {-7=2m+b\ \ \ \ (2)}} \right.[/tex]
Subtract equation (2) from equation (1):
-30=5m
Divide both parts of the equation by 5:
-6=m
Thus, substitute m=-6 in (2):
-7=(-6)(2)+b
-7=-12+b
-7+12=-12+b+12
5=b
Hence,
y=-6x+5