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Given two points (x₁,y₁) and (x₂,y₂) the slope of the line passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)


We need only two points;
For example:
The points (2,2) and (7,4).
m=(4-2)/(7-2)=2/5

The slope would be 2/5.

I you choose other points, for example (-3.0) and (12,6) the result would be the same.
m=(6-0)(12+3)=6/15=2/5

Answer: the slope would be 2/5

JeanaShupp

Answer: \(\dfrac{2}{5}\)

Step-by-step explanation:

We know that the slope of a line is given by :-

\(\text{Slope}=\dfrac{\text{Change in y}}{\text{Change in x}}\)

From the given table , we have

\(\text{Slope}=\dfrac{2-0}{\text{2-(-3)}}\\\\\Rightarrow\ \text{Slope}=\dfrac{2}{2+3}\\\\\Rightarrow\ \text{Slope}=\dfrac{2}{5}\)

Therefore, the slope of the line= \(\dfrac{2}{5}\)

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