Answer:
y = -x + 7
Step-by-step explanation:
Find the slope
m = y2 - y1 / x2 - x1
Given two points
( 8 , -1) ( 4 ,3)
x1 = 8
y1 = -1
x2 = 4
y2 = 3
m = (3 -(-1) / ( 4 - 8)
m = 3 + 1 / 4 - 8
= 4 / -4
= -1
Using a point slope form equation
y - y1 = m( x - x1)
Using the second point
( 4 , 3)
x1 = 4
y1 = 3
m = -1
y - 3 = -1( x - 4)
Using a slope intercept form equation
Open the bracket with -1
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
The equation of a line is
y = -x + 7
