WILL GIVE BRAINLIEST AND 30 POINTS!!!!!!!!!!!!!!!!

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 8x+4 intersect are the solutions of the equation 2−x = 8x+4. (4 points)

Part B: Make tables to find the solution to 2−x = 8x+4. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 2−x = 8x+4 graphically? (2 points)

Respuesta :

A) The intersection occurs at the same height 'y', so the y of each equation must be equal:

y=y implies 2−x = 8x+4. The solution is -2=9x, x = -2/9=2/3, and y = 20/9

(-2/9,20/9)

B)
X    |   Y1   | Y2
_____________
-3   5    -20
-2   4    -12
-1   3    -4
0    2   4
1    1  12
2    0   20
3   -1  28

C) I would draw each line with the values on the table. Where both lines cross is the intersection point. It should be (-2/9, 20/9)