what is the slope of the line that passes through the points (2, -4) and (5, 2)? write your answer in…
what is the slope of the line that passes through the points (2, -4) and (5, 2)? write your answer in simplest form.
Answer
Explanation:
Step1: Identify 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}).
Step2: Substitute the given points
Let ((x_1,y_1)=(2,-4)) and ((x_2,y_2)=(5,2)). Then (m=\frac{2-(-4)}{5 - 2}).
Step3: Simplify the expression
First, simplify the numerator: (2-(-4)=2 + 4=6). The denominator is (5 - 2=3). So (m=\frac{6}{3}=2).
Answer:
2