Respuesta :
Answer:
a = 3
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question the slope is - 3
To find the value of a we have
[tex] - 3 = \frac{7 - - 2}{a - 6} \\ - 3 = \frac{7 + 2}{a - 6} \\ - 3(a - 6) = 9 \\ - 3a + 18 = 9 \\ - 3a = 9 - 18 \\ - 3a = - 9[/tex]
Divide both sides by - 3
[tex] \frac{ - 3a}{ - 3} = \frac{ - 9}{ - 3} \\ [/tex]
We have the final answer as
a = 3
Hope this helps you
m = y1 - y2 / x1 x2
-3 = -2 - 7 / 6 - a
-3 = -9 / 6 - a
-3 (6 - a)=-9
-18 + 3a = -9
3a = - 9 + 18
a = 9 / 3
a = 3