what is the slope of the line that passes through the points $(-4,5)$ and $(-7,8)$? write your answer in…
what is the slope of the line that passes through the points $(-4,5)$ and $(-7,8)$? write your answer in simplest form.
Answer
Explanation:
Step1: Identify the formula for slope
The formula for the 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)=(-4,5)) and ((x_2,y_2)=(-7,8)). Then (y_2 - y_1=8 - 5 = 3) and (x_2 - x_1=-7-(-4)=-7 + 4=-3).
Step3: Calculate the slope
Substitute into the formula: (m=\frac{3}{-3}=-1).
Answer:
(-1)