Answer:−
1
2
+
6
4
Step-by-step explanation:−
3
4
(
4
−
2
)
Simplify
1
Combine multiplied terms into a single fraction
−
3
4
(
4
−
2
)
−
3
(
4
−
2
)
4
2
Distribute
Solution
−
1
2
+
6
Explanation:
Steve correctly computed the change in x to be 2, and the change in y to be 6. However he put 2 in the slope formula for Δy (the change in y), and 6 for Δx. That is, Steve reversed the values of Δx and Δy.
The actual slope is ...
slope = Δy/Δx = 6/2 = 3
Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.
The number we're looking for is ' G '.
Half of it is 1/2 G
The sum of that and 6 is 1/2 G + 6
Ten times that is 10 (1/2 G + 6)
The question says that's 8.
So 10 (1/2 G + 6) = 8
Divide each side by 10 : 1/2 G + 6 = 0.8
Subtract 6 from each side: 1/2 G = - 5.2
Multiply each side by 2 : G = - 10.4
That seems like a weird answer. We should check it.
The number: -10.4
Half the number: - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8
Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4
-4m-24=-8
(add 24 to both sides)
-4m=16
(divide by -4 on both sides)
m=-4
