Question

question
use point - slope form to write the equation of a line that passes through the point (-14, 12) with slope -\frac{7}{8}.
answer

Explanation:

Step1: Recall Point - Slope Formula

The point - slope form of a line's equation is given by $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope of the line.

Step2: Identify Values

We are given that the slope $m =-\frac{7}{8}$ and the point $(x_1,y_1)=(- 14,12)$.
Substitute $x_1=-14$, $y_1 = 12$ and $m=-\frac{7}{8}$ into the point - slope formula.
When we substitute $x_1=-14$ into $(x - x_1)$, we get $(x-(-14))=(x + 14)$. And $y_1 = 12$ into $(y - y_1)$ gives $(y - 12)$, and $m=-\frac{7}{8}$.
So the equation of the line in point - slope form is $y - 12=-\frac{7}{8}(x + 14)$.

Answer:

$y - 12 = -\frac{7}{8}(x + 14)$