Given:
The two points are (-3,-4) and (4,5).
To find:
The slope of the line that passes through the given points.
Solution:
The slope formula is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through the points (-3,-4) and (4,5). So, the slope of the line is
[tex]m=\dfrac{5-(-4)}{4-(-3)}[/tex]
[tex]m=\dfrac{5+4}{4+3}[/tex]
[tex]m=\dfrac{9}{7}[/tex]
Therefore, the slope of the given line is [tex]m=\dfrac{9}{7}[/tex].
