Answer:
a=9
Explanation:
Given that the slope of the points below is 6:
• (x1,y1) = (-9,-9)
,• (x2,y2) = (-6,a)
Substitute the points into the slope formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]This gives:
[tex]\begin{gathered} 6=\frac{a-(-9)}{-6-(-9)} \\ 6=\frac{a+9}{-6+9} \\ 6=\frac{a+9}{3} \\ \text{Cross multiply} \\ a+9=6\times3 \\ a+9=18 \\ a=18-9 \\ a=9 \end{gathered}[/tex]The value of a is 9.
