a line has a slope of $\frac{1}{3}$ and passes through the point (-10, -2). what is its equation in point…
a line has a slope of $\frac{1}{3}$ and passes through the point (-10, -2). what is its equation in point - slope form? use the specified point in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions. y - = (x - )
Answer
Explanation:
Step1: Recall point - slope form
The point - slope form of a line is $y - y_1=m(x - x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line.
Step2: Identify values
Given $m = \frac{1}{3}$, $x_1=-10$, and $y_1 = - 2$.
Step3: Substitute values
Substitute these values into the point - slope form: $y-(-2)=\frac{1}{3}(x - (-10))$.
Answer:
$y+2=\frac{1}{3}(x + 10)$