what is the slope of the line that passes through the points $(-9,-5)$ and $(-1,-9)$? write your answer in…
what is the slope of the line that passes through the points $(-9,-5)$ and $(-1,-9)$? write your answer in simplest form.
Answer
Explanation:
Step1: Identify the formula for slope
The formula for 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: Assign values to (x_1,y_1,x_2,y_2)
Let ((x_1,y_1)=(-9,-5)) and ((x_2,y_2)=(-1,-9)).
Step3: Substitute values into the formula
(m=\frac{-9-(-5)}{-1-(-9)}=\frac{-9 + 5}{-1+9}).
Step4: Simplify the numerator and denominator
The numerator: (-9 + 5=-4). The denominator: (-1+9 = 8). So (m=\frac{-4}{8}).
Step5: Reduce the fraction
Divide numerator and denominator by their greatest common divisor (GCD). The GCD of (4) and (8) is (4). (\frac{-4\div4}{8\div4}=-\frac{1}{2}).
Answer:
(-\frac{1}{2})