Question

What is the equation of the line through (4, 2) and (0, -2)?

Answer 1

Slope Intercept Form

y=x-2

Explanation:

Find Slope using equation below

`(y2 - y1)/(x2 - x1)`

Chose points I chose 2 as y2 and -2 as y2

4 is x2 and 0 as x1

`(2 - ( - 2))/(4 - 0) = (4)/(4) = 1`

Slope is 1

now choose a point and plug it in for x and y and plug slope in Equation

`y = mx + b`

I chose (4,2)

`2 = 1(4) + b`

2=4+b

subtract 4 by both sides

-2=b

Slope Form

`y = mx + b`

So... y=x-2 is the answer