Answer:
a = 4
b=-12
Step-by-step explanation:
For h(x) to be continuous, h(2) = -4 and h(5) = 8. a represents the slope of the line, which can be found using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]=[tex]\frac{8-(-4)}{5-2} =4[/tex], so a = 4.
Now we can use our known values and either point to solve for b.
Using h(2) = -4:
[tex]-4 = 4(2)+b\\b=-12[/tex]
So, a = 4 and b = -12.
