Answer:
y = -x + 4
Explanation:
y = mx + b
You need the slope (m) and the y-intercept (b)
Slope
Change in y over the change in x
(1,3) (7,-3)
The y values are -3 and 3. You find the change by subtraction
-3 - 3 = -6
(1,3)(7, -3)
The x values are 7 and 1. You find the change by subtraction
7 - 1 = 6
You make a fraction by the change in y in the numerator and the change in x in the denominator.
= -1
The slope is -1
y-intercept
Use the slope you just found -1 and one of the points given. I am going to use (1,3), but either point will work.
y = 3 From the point given (1,3)
x = 1 From the point given (1,3)
m = -1
Substitute these all in and solve for b
y = mx + b
3 = (-1)(1)+ b
3 = -1 + b Add 1 to both sides
3 + 1 = -1 + 1 + b
4 = b
The y-intercept is 4.
y =mx + b
y = -x + 4