what is the equation of the line that passes through the point $(-5,-6)$ and has a slope of $\frac{1}{5}$?
what is the equation of the line that passes through the point $(-5,-6)$ and has a slope of $\frac{1}{5}$?
Answer
Explanation:
Step1: Use the point - slope form
The point - slope form of a line is (y - y_1=m(x - x_1)), where ((x_1,y_1)=(-5,-6)) and (m = \frac{1}{5}). Substitute the values: (y-(-6)=\frac{1}{5}(x - (-5))).
Step2: Simplify the equation
Simplify (y + 6=\frac{1}{5}(x + 5)). Distribute (\frac{1}{5}): (y+6=\frac{1}{5}x+1). Subtract 6 from both sides: (y=\frac{1}{5}x+1 - 6).
Step3: Get the final form
(y=\frac{1}{5}x-5).
Answer:
(y=\frac{1}{5}x - 5)