what is the slope of the line that passes through the points (-1, -3) and (-19, -18)? write your answer in…
what is the slope of the line that passes through the points (-1, -3) and (-19, -18)? write your answer in simplest form.
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 $(x_1,y_1)=(-1,-3)$ and $(x_2,y_2)=(-19,-18)$.
Step3: Substitute values into the formula
$m=\frac{-18-(-3)}{-19 - (-1)}=\frac{-18 + 3}{-19+1}$.
Step4: Simplify the numerator and denominator
The numerator $-18 + 3=-15$, and the denominator $-19 + 1=-18$. So $m=\frac{-15}{-18}$.
Step5: Reduce the fraction
Dividing both the numerator and denominator by 3, we get $m=\frac{5}{6}$.
Answer:
$\frac{5}{6}$