Answer:
The correct answer is a = 8.
Step-by-step explanation:
To solve this problem, we must remember the formula for slope, which is:
slope = m = (y2 - y1)/(x2 - x1)
Now, we can plug in the values that we are given into the slope formula:
-3/2 = (-3-6)/(a-2)
Now, we should begin to simplify the equation.
-3(a-2) = 2(-9)
We can use the distributive property to eliminate the parentheses on each side of the equation:
-3a + 6 = -18
Then, we can subtract 6 from both sides of the equation to get the variable term alone on the left side of the equation:
-3a = -24
Finally, we should divide both sides by -3 to completely isolate the variable on the left side of the equation:
a = 8
Therefore, the correct answer is a= 8.
Hope this helps!
