Question

Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y- __=__(x-__).

Answer 1

The equation is
`y-(-8) = 4(x-2)`.

Explanation:

The point-slope form of a line is represented by the formula
`y-y_1 = m (x-x_1)`. In order to write an equation of a line in point-slope form, we would need to substitute real values for the
`m`,
`x_1`, and
`y_1` in the formula.

Since
`m` represents the slope of the line, substitute 4 in its place. Since
`x_1` and
`y_1` represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for
`x_1` and -8 for
`y_1`. This results in the following equation and answer:

`y-(-8) = 4(x-2)`

(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)