Answer:
y = 4x + 1
Step-by-step explanation:
The equation for a line is y = mx + b
The two points, (-2, -7) and (-1, -3) give us two y's and two x's. We can turn this into a system of equations:
-7 = -2m +b
-3 = -m +b
Then subtract the first equation from the second, and get:
-3 - (-7) = -m - (-2m) + b - b
4 = m
Now that we know what m is, we can plug it into our equation, and get:
-7 = -8 + b
-3 = -4 + b
In both instances, b = 1
So the equation for our line is y = 4x + 1
