The slope of the line containing the points F(-2, -4) and G(1,2) is 2
Solution:
Given, two points are F (-2, - 4) and (1, 2)
To find:
Slope of line = ?
Slope of a line that pass through [tex]\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { is given by }^{u} m^{\prime \prime}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text { Here, in our problem, } x_{1}=-2, y_{1}=-4 \text { and } x_{2}=1, y_{2}=2[/tex]
Now, plugging in the given values in slope formula, we get
[tex]\text { Now, slope } \mathrm{m}=\frac{2-(-4)}{1-(-2)}[/tex]
[tex]=\frac{2+4}{1+2}=\frac{6}{3}=2[/tex]
Hence, the slope the line that passes through the given points is 2
