use point - slope form to write the equation of a line that passes through the point (-3,17) with slope…
use point - slope form to write the equation of a line that passes through the point (-3,17) with slope $\frac{7}{4}$.
Answer
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 a point on the line and $m$ is the slope.
Step2: Identify values of $x_1$, $y_1$ and $m$
Given the point $(-3,17)$ and slope $m = \frac{7}{4}$, so $x_1=-3$, $y_1 = 17$ and $m=\frac{7}{4}$.
Step3: Substitute values into formula
Substitute $x_1=-3$, $y_1 = 17$ and $m=\frac{7}{4}$ into $y - y_1=m(x - x_1)$. We get $y - 17=\frac{7}{4}(x-(-3))$.
Step4: Simplify the equation
$y - 17=\frac{7}{4}(x + 3)$.
Answer:
$y - 17=\frac{7}{4}(x + 3)$