Find the equation of the line.
Use exact numbers.

The equation of the line is y =  x - 52

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line

b is the y-intercept (y at x = 0)

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

Y = 2x + 5

Step-by-step explanation:

2x is your slope and 5 is your y intercept.

The formula for this is: y = mx + b

step-by-step explanation: