Question

A line that includes the point (-10,-5) has a slope of -8. What is its equation in point-slope form?

Answer 1

`y + 5 = -8 (x+10)`

Explanation:

The point-slope form of an equation is represented by the formula
`y-y_1 = m (x-x_1)`. Substitute values for the
`m`,
`x_1`, and
`y_1` in the formula to write the equation of the line in point-slope form.

`m` represents the slope, so substitute -8 in its place. The
`x_1` and
`y_1` represent the x and y values of a point the line intersects. Thus, use the x and y values of the point (-10, -5) for the formula. Substitute -10 for
`x_1` and -5 for
`y_1`. This gives the following equation and answer:

`y-(-5) = -8(x-(-10)\\y + 5 = -8 (x+10)`

Answer 2

Explanation:

y + 5 = -8(x + 10)

y + 5 = -8x - 80

y = -8x - 85