Answer:
Equation of line =
y = -2x + 11
Explanation:
Using the formula for equation of a line with two points
(y_2 - y_1) / (x_2 - x_1) = (y - y_1) / (x - x_1)
Using the points we are provided with
( 5,1)(7,-3)
x_1 = 5
y_1 = 1
x_2 = 7
y_2 = -3
Inserting those values
( -3 - 1) / (7 - 5) = (y - 1) / (x - 5)
-4/2 = (y - 1) / (x - 5)
Cross multiply
-4(x - 5) = 2 ( y - 1)
Open the brackets
-4x + 20 = 2y - 2
-4x +20 +2 = 2y
-4x + 22 = 2y
Divide through by 2 to get the value of y following the rules
y = mx + C
-4x + 22 = 2y
-4x + 22 / 2 = 2y/2
-4x + 22 / 2 = y
We can still separate
-4x / 2 + 22/ 2 = y
-2x + 11 = y
y = -2x + 11