Question

What is an equation of the line that passes through the points (3, 6) and (−1, −6)?

Answer 1

y = 3x - 3

Explanation:

(You should write this down just in case)

Write the slope formula:

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

Substitute and Calculate:

`x_(1)` = 3

`x_(2)` = -1

`y_(1)` = 6

`y_(2)` = -6

^ Substitution

m =
`(-6 - 6)/(-1 - 3)`

m =
`(-12)/(-4)`

m =
`(12)/(4)`

m = 3

^ Calculation

Substitute and Calculate:

m = 3

x = 3 <<into y = mx + b

y = 6

6 = 9 + b

-b = 9 - 6

-b = 3

b = -3

^ Calculation

Substitute:

y = 3x - 3

m = 3

^Into y = mx + b

y = 3x - b