Question

Find the equation (in terms of c) of the line through the points (-1,-7) and (1,-3)

Answer 1

`y=2x-5`

Explanation:

You may replace the
`x` with
`c` according to your question's requirement.

We can use the point slope form to find the equation of a straight line.

`(y-{y__1}})=m(x-{x__1})`

But first, let's find the slope
`m` between the two points.

`m = (-3-(-7))/(1-(-1)) = (4)/(2) = 2`

Then, let's use the point
`(1,-3)` and plug them into
`x__1` and
`y__1`

`(y-{{-3)}})=2(x-{1})`

Equation:
`y = 2x - 5` (or
`y = 2c - 5` in your case)