Question

What is the slope of the line graphed below?(0, 1)13,-1)0A를O B.c.D.

Answer 1

As per given by question,

There are given that a graph and their points.

Now,

The given points is,

(0, 1), and (-3, -1).

Suppose,

`x_1=0,y_1=1,x_2=-3,y_2=-1_{}`

From the formula to find the slope,

`\text{Slope (m)=}(y_2-y_1)/(x_2-x_1)`

Then,

Put the given value in above formula,

`\begin{gathered} \text{Slope (m)=}(y_2-y_1)/(x_2-x_1) \\ \text{Slope (m)=}\frac{-1_{}-1_{}}{-3-0_{}_{}} \end{gathered}`

Then,

`\begin{gathered} \text{slope (m)=}(-2)/(-3) \\ =(2)/(3) \end{gathered}`

Hence, the option B is correct.