Answer:
y = 4x - 5
Explanation:
y = xm + b
We need to find the slope (m) and the y-intercept (b).
Use the points given to find the slope.
the slope is the change in y over the change in x. We find the change by subtracting.
(1, -1) (3, 7)
The y's are: 7 and -1
(1,-1) (3,7)
The x's are: 1 and 3
=
=
= 4
The slope (m) is 4.
Now we can use the slope (4) and the either of the points given to find b. I am going to use the point (3,7)
y = 7
x = 3
m = 4
y = mx + b
7 = (4)(3) + b
7 = 12 + b Subtract 12 from both sides
-5 = b
The y intercept of the line (b) is -5.
y = mx + b
y = 4x - 5