Complete the equation of the line through (6,-6) and (8,8)

y = 7x - 48

Step-by-step 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

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step-by-step explanation:

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