Find the slope of a line which passes through the points
Question:

Find the slope of a line which passes through the points

(i) $(0,0)$ and $(4,-2)$

(ii) $(0,-3)$ and $(2,1)$

(iii) $(2,5)$ and $(-4,-4)$

(iv) $(-2,3)$ and $(4,-6)$

 

Solution:

If a line passing through $\left(x_{1}, y_{1}\right) \&\left(x_{2}, y_{2}\right)$ then slope of the line is given 

by slope $=\left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)$

(i) Given points are $(0,0)$ and $(4,-2)$

slope $=\left(\frac{-2-0}{4-0}\right)$

$=\frac{-1}{2}$

(ii) Given points are $(0,-3)$ and $(2,1)$

slope $=\left(\frac{1-(-3)}{2-0}\right)$

$=2$

(iii) Given points are $(2,5)$ and $(-4,-4)$

slope $=\left(\frac{-4-5}{-4-2}\right)$

$=\frac{3}{2}$

$=1.5$

(iv) Given points are $(-2,3)$ and $(4,-6)$

slope $=\left(\frac{-6-3}{4+2}\right)$

$=\frac{-3}{2}$

$=-1.5$

 

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