Question

Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).

y + 1 = -2(x – 5)

y – 1 = -2(x – 5)

y – 5 = -2(x + 1)

y -5 = -2(x – 1)

Answer 1

`y+1=-2(x-5)`

Explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.

We will substitute
`m=-2` and
`x_1=5\\y_1=-1`.

`y-(-1)=-2 (x-5)`

`y+1=-2(x-5)`

This is the equation of the line with slope -2 that passes through (5,-1).