what is the slope of this line? (-3, -3) (3, -5) simplify your answer and write it as a proper fraction…
what is the slope of this line? (-3, -3) (3, -5) simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer
Explanation:
Step1: Recall slope - formula
The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Identify the points
Let $(x_1,y_1)=(-3,-3)$ and $(x_2,y_2)=(3,-5)$.
Step3: Substitute values into formula
$m=\frac{-5-(-3)}{3 - (-3)}$.
Step4: Simplify the numerator and denominator
The numerator $-5-(-3)=-5 + 3=-2$, and the denominator $3-(-3)=3 + 3 = 6$. So $m=\frac{-2}{6}=-\frac{1}{3}$.
Answer:
$-\frac{1}{3}$