what is the slope of the line that passes through the points (9,4) and (3,9)? write your answer in simplest…
what is the slope of the line that passes through the points (9,4) and (3,9)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope formula for two points ((x_1,y_1)) and ((x_2,y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(9,4)) and ((x_2,y_2)=(3,9)).
Step2: Substitute values
Substitute the values into the formula: (m=\frac{9 - 4}{3 - 9}).
Step3: Calculate numerator and denominator
The numerator (9 - 4=5), and the denominator (3 - 9=-6). So (m =-\frac{5}{6}).
Answer:
(-\frac{5}{6})