what is the slope of the line that passes through the points (-4, 2) and (-5, 0)? write your answer in…
what is the slope of the line that passes through the points (-4, 2) and (-5, 0)? 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 given by ( m=\frac{y_2 - y_1}{x_2 - x_1} ).
Step2: Identify coordinates
Let ( (x_1, y_1)=(-4, 2) ) and ( (x_2, y_2)=(-5, 0) ).
Step3: Substitute into formula
Substitute the values into the slope formula: ( m=\frac{0 - 2}{-5 - (-4)} ).
Step4: Simplify numerator and denominator
Simplify numerator: ( 0 - 2=-2 ). Simplify denominator: ( -5 - (-4)=-5 + 4=-1 ).
Step5: Calculate slope
Now, ( m=\frac{-2}{-1}=2 ).
Answer:
2