Complete the equation of the line through (-10,3)and (-8,-8) Use exact numbers. Question Complete the equation of the line through (-10,3)and (-8,-8) Use exact numbers. in progress 0 Math Sophia 4 months 2021-10-05T15:36:24+00:00 2021-10-05T15:36:24+00:00 1 Answer 0 views 0

## Answers ( )

Answer:The equation of the line is

y =x – 52Step-by-step explanation:The form of the linear equation is y = m x + b, where

The formula of the slope is

∵ The line passes through the points (-10 , 3) and (-8 , 8)

∴ = -10 and = -8

∴ = 3 and = -8

– Substitute them in the formula of the slope

∴

∴

m =∵ The form of the equation is y = m x + b

∴ y = x + b

– To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ x = -8 and y = -8

∴ -8 = (-8) + b

∴ -8 = 44 + b

– Subtract 44 from both sides

∴

-52 = b∴ y = x + (-52)

∴ y = x – 52

The equation of the line is y =x – 52