what is the slope of the line that passes through the points (7, -5) and (16, 7)? write your answer in…
what is the slope of the line that passes through the points (7, -5) and (16, 7)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall the slope formula
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}), where ((x_1,y_1)) and ((x_2,y_2)) are two points on the line.
Step2: Identify the coordinates
Let ((x_1,y_1)=(7,-5)) and ((x_2,y_2)=(16,7)).
Step3: Substitute into the formula
(m=\frac{7-(-5)}{16 - 7}=\frac{7 + 5}{16-7})
Step4: Simplify the numerator and denominator
(m=\frac{12}{9})
Step5: Reduce the fraction
Divide both the numerator and denominator by their greatest common divisor, which is 3. So (m=\frac{12\div3}{9\div3}=\frac{4}{3})
Answer:
(\frac{4}{3})