Question

The points (-9,-9)and (-6,a)fall on a line with a slope of 6.what is the value of a

Answer 1

a=9

Step-by-step 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:

`m=(y_2-y_1)/(x_2-x_1)`

This gives:

`\begin{gathered} 6=(a-(-9))/(-6-(-9)) \\ 6=(a+9)/(-6+9) \\ 6=(a+9)/(3) \\ \text{Cross multiply} \\ a+9=6*3 \\ a+9=18 \\ a=18-9 \\ a=9 \end{gathered}`

The value of a is 9.