Answer:
Step-by-step explanation:
Question one
The slope is simply read. It is - 2
So far what you have is
y = mx + b
m = -2
y = - 2x + b
The point is a little different
(-1,1) means
x = - 1
y = 1
y = -2x + b
1 = -2(1) + b
1 = - 2 + b
1 + 2 = - 2 + 2 + b
3 = b
Complete line
y = -2x + 3
Problem 2
(0,-6 is where you should start. That's the y intercept. In the equation y = mx + b it gives you b immediately.
y = mx + b
-6 = 0m + b
b = - 6
The x intercept occurs when y = 0
0 = m(-2) - 6 Add 6 to both sides
6 = - 2m - 6 + 6
6 = -2m Divide by -2
6/-2 = m
m = - 3
Equation
y = -3x - 6
