Answer:
The slope of line that passes through the points (2, -4) and (5, 2) is 2.
Step-by-step explanation:
Here's the required formula to find slope line :
[tex]{\longrightarrow{\pmb{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}[/tex]
As per given question we have provided that :
[tex]\begin{gathered}\footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = 2\\& \sf y_1 = - 4\\ & \sf x_2 = 5\\ & \sf x_1 = 2\end{cases} \end{gathered}[/tex]
Substituting the values in the formula to find slope line that passes through the points :
[tex]\begin{gathered}\qquad{\longrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{(2) - ( - 4)}{5 - 2}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{2 + 4}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{6}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = 2}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{m = 2}}}}}} \end{gathered}[/tex]
Hence, the slope of line that passes through the points (2, -4) and (5, 2) is 2.
[tex]\rule{300}{2.5}[/tex]
