Question

use point-slope form to write the equation of a line that passes through the point $(-14, 6)$ with slope $-\frac{7}{4}$.
answer attempt 1 out of 2

Explanation:

Step1: Recall point-slope formula

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

Step2: Substitute given values

Here, $x_1 = -14$, $y_1 = 6$, and $m = -\frac{7}{4}$. Substitute these into the formula:
$y - 6 = -\frac{7}{4}(x - (-14))$
Simplify the right-hand side's $x$-term:
$y - 6 = -\frac{7}{4}(x + 14)$

Answer:

$y - 6 = -\frac{7}{4}(x + 14)$