I don’t see the table necessary in order to solve this question
1. Expand
2x − 2 + 4 = 4x + 4
2. Simply
2x + 2 = 4x + 4
3. Subtract
2 = 4x + 4 - 2x
4. Simplify
2 = 2x + 4
5.Subtract
2 - 4 = 2x
6. Simplify
-2 = 2x
7. Divide both sides by
-1 = x
8.Switch sides.
x = -1
Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
