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value: 1 find the slope of ab. a (-4,1) b(-1,3) c (3,1) d(1,-1) a. 2/3 …

Question

value: 1
find the slope of ab.
a (-4,1)
b(-1,3)
c (3,1)
d(1,-1)
a. 2/3
b. -2/5
c. 3/2
d. -5/2

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the coordinates of A and B

For points $A(-4,1)$ and $B(-1,3)$, we have $x_1=-4,y_1 = 1,x_2=-1,y_2 = 3$.

Step3: Substitute values into the formula

$m=\frac{3 - 1}{-1-(-4)}=\frac{2}{-1 + 4}=\frac{2}{3}$.

Answer:

A. 2/3