Question

Write the equation of the line that passes through the points (6, -1) and (12, 2).

Use any method you wish, but show your work or explain how you got your solution.

Answer 1

y= 1/2x - 4

Explanation:

`slope = y2 - y1 / x2 - x1`

`x1 = 6 \\ x2 = 12 \\ y1 = - 1 \\ y2 = 2 \\ 2 - ( - 1) / 12 - 6 \\ 3 / 6 \\`

slope=1/2

equation of the line

m

`m = y2 - y0 / x2 - x0 \\`

1/2=2-y/12-x

`2(2 - y) = - 1(12 - x) \\ 4 - 2y = 12 + x \\ - 2y = 12 - 4 + x \\ - 2y = 8 + x \\ divide \: by \: - 2 \: both \: sides`

y=1/2x - 4