Answer:
[tex]m=\dfrac{7}{5}[/tex]
Step-by-step explanation:
To find the slope of a line, find two points on the line and define them as follows:
[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]
Substitute the points in the slope formula and solve for m:
[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]
Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]
