Answer:
[tex]\frac{7}{3}[/tex]
Explanation:
Using two points to find the slope
The formula:
[tex]\frac{y_ {2} - y__1}{x_2-x_1}[/tex]
The points:
[tex](0,-5)[/tex]
[tex](6,9)[/tex]
Plug the points in the formula; solve:
[tex]\frac{9-(-5)}{6-0}[/tex]
[tex]=\frac{14}{6}[/tex]
[tex]=\frac{14\div2}{6\div2}[/tex]
[tex]=\frac{7}{3}[/tex]
[tex]\bold{m=\frac{7}{3}}[/tex]
Therefore, the slope is [tex]\frac{7}{3}[/tex].
