Answer:
Step-by-step explanation:
Part A
The first thing you have to do is develop a formula for the line.
It goes through (-2,3)
It has a y intercept of (0,-1)
So far what you know is
y = mx - 1
x = - 2
y = 3
3 = m(-2) - 1 Add 1 to both sides
3 + 1 = (-2)*m
4 = - 2*m Divide by - 2
4/-2 = m
m = - 2
The equation of the line is y = -2x - 1
Instead of y, we can use f(x)
f(x) = -2x - 1
Finally we can solve this part of the question.
f(1) = - 2(1) - 1
f(1) = -2 - 1
f(1) = - 3
Part B
f(x) = 5
y = 5
5 = -2x - 1 Add 1 to both sides
5+1 = - 2x Divide by - 2
6 / -2 = -2x/-2
-3 = x
