Question

Write an equation in slope intercept form of the line passing through (8,1) and (1,8)

Answer 1

Answer: y = -x + 9

Step-by-step explanation:

First, to find the slope of the line we will use: (y₂-y₁)/(x₂-x₁)

Using the two points, we get: (8-1)/(1-8)

Simplify it: 7/-7

Finally, the slope is -1

We can now write: y = -x + b

Next we will plug in a point into the equation we have:

(8,1)  -->   1 = -8 + b          Then solve algebraically

b = 9

Then finish the equation:

y = -x + 9