Question

2. Find the slope of a line that contains the

Answer 1

Answer:

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Step-by-step explanation:

in the picture

Answer 2

Answer:

The slope of a line that contains the  points (0, -2), (3, 1) is 1 and points (0.-2), (2.-8) is -3

Solution:

2. For the first problem,  

The points are $(x_1,y_1) = (0,-2)$ and$(x_2,y_2) = (3,1)$

Let us assume that the slope is m.

We know the slope on a point $=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now substituting the value of the points we get,

$\text { Slope } m=\frac{1-(-2)}{3-0}=\frac{1+2}{3}=\frac{3}{3}=1$

3. For the second problem,

The points are $(x_1,y_1) = (0,-2)$ and $(x_2,y_2) = (2,-8)$

Let us assume that the slope is m1

We know the slope on a point $=\frac{y_{2}-y_{1}}{x_{2}-x_1}$

Now putting the value of the points we get,

$\text { Slope } m 1=\frac{-8-(-2)}{2-0}=\frac{-6}{2}=(-3)$