what is the slope of the line that passes through the points (-6, 8) and (-9, 7)? write your answer in…
what is the slope of the line that passes through the points (-6, 8) and (-9, 7)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope ( m ) 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 coordinates
Let ( (x_1, y_1)=(-6, 8) ) and ( (x_2, y_2)=(-9, 7) ).
Step3: Substitute into formula
Substitute values: ( m=\frac{7 - 8}{-9 - (-6)}=\frac{-1}{-9 + 6}=\frac{-1}{-3} ).
Step4: Simplify fraction
Simplify ( \frac{-1}{-3}=\frac{1}{3} ).
Answer:
(\frac{1}{3})