Question

Write an equation of the line that passes through the point (–1, 4) with slope 2. A. y+1=−2(x−4) B. y+1=2(x−4) C. y−4=2(x+1) D. y−4=−2(x+1) CHOSE ONE!

Answer 1

`y-4=2\,(x+1)`

which agrees with answer C in your list of possible answers.

Explanation:

We can use the general point-slope form of a line of slope m and going through the point
`(x_0, y_0)`:

`y-y_0=m(x-x_0)`

which in our case, given the info on the slope (2) and the point (-1, 4) becomes:

`y-y_0=m\,(x-x_0)\\y-4=2\,(x-(-1))\\y-4=2\,(x+1)`