Answer:
y = 7x - 48
Explanation:
To find the equation of the line
y = mx + c
Step 1 : find the slope
( 6, -6) ( 8, 8)
x_1 = 6
y_1 = -6
x_2 = 8
y_2 = 8
Insert the values into
m =( y_2 - y_1) /( x_2 - x_1)
m - slope
m = (8 - (-6)) / (8 -6 )
m = 8 +6 / 8 - 6
m = 14 / 2
m = 7
Step 2: substitute slope into intercept form equation
y = mx + c
y = 7x + c
Step 3: substitute either point into the equation in step 2
y = 7x + c
Let's pick point ( 8,8)
y = 8
x = 8
y = 7x + c
8 = 7(8) + c
8 = 56 + c
8 - 56 = c
c = 8 - 56
c = -48
Substitute the value of c back into the equation
y = 7x + c
y = 7x - 48
The equation of the line is
y = 7x - 48