Question

How do you determine the equation of the line given A(-6, -2), B(6, 8)?

Answer 1

`y=5/6x+3`

Explanation:

The first step would be to find the slope that would be used in the equation. This is done using the slope formula, `(y_2-y_1)/(x_2-x_1)`. So,
`(8- (-2))/(6-(-6))` = `10/12` = `5/6`

Therefore the slope would be 5/6. Now we take this slope and one of the points given to us and we plug them into the equation of a line, `y=mx+b`. Let's use point B, (6,8)

`8=5/6(6)+b`
`8=5+b`
`b=3`

Then we plug the m and b values we have found into `y=mx+b` to create the equation of the line.
`y=5/6x+3`