Question

Write the equation of the line that passes through the points (7,-6) and (0,2). Put

your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

`y+6=(-8)/(7) (x-7)`

Explanation:

To find the slope of the equation use
`(y_2-y_1)/(x_2-x_1)`.

So,
`(-6-2)/(7-0)` =
`(-8)/(7)`. Now we can use our slope and any of the two points to write in point-slope form, which is
`y-y_1=m(x-x_1)`. Using the point (7,-6), the formula will give
`y+6=(-8)/(7) (x-7)`.

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.