Question

21 find the slope of the line. a (m = \frac{3}{5}) b (m=-\frac{5}{3}) c (m = \frac{5}{3}) d (m = -\frac{3}{5})

Explanation:

Step1: Identify two points

Let the two points on the line be $(0, 2)$ and $(3,-3)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 2,x_2=3,y_2=-3$. Then $m=\frac{-3 - 2}{3-0}=\frac{-5}{3}=-\frac{5}{3}$.

Answer:

B. $m =-\frac{5}{3}$