Question

Complete the equation of the line through (-8,8) and (1,-10). Use exact numbers.

Answer 1

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2

Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8

Our final equation is y = -2x - 8

Answer 2

The equation of the line through (-8,8) and (1,-10) is y = -2x - 8

Using the slope intercept form equation.

y = mx + b

where

m = slope

b = y-intercept

Therefore,

(-8,8) (1,-10)

m = -10  - 8 / 1 + 8 =  - 18  / 9 = -2

Therefore,

let's find b as follows:

(1, -10)

y = -2x + b

-10 = -2(1) + b

b = -10 + 2

b= -8

Therefore,

y = -2x - 8

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