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

Answer:

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

Step-by-step 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.)