50 points
part a: explain why the x-coordinates of the points where the graphs of the equations y = 4–x and y = 2x + 3 intersect are the solutions of the equation 4–x = 2x + 3. (4 points)

part b: make tables to find the solution to 4–x = 2x + 3. take the integer values of x between −3 and 3. (4 points)

part c: how can you solve the equation 4–x = 2x + 3 graphically? (2 points)

Part A:To find the point where the two lines intersect, you must find the common point (x). To find this, you must set the two equations equal to each other.

Hi There! :D

Part A) you have the equations of two lines: y = 4-x and y = 2x + 3 If a point is on the first line AND that same point is on the other line, then the point must be at the intersection (where the lines cross). the y value of this point will be BOTH 4-x and 2x+3. In other words 4-x= 2x+3

part C) graph the two lines y = 4-x and y = 2x + 3 and see where they intersect. That is, pick out the (x,y) pair that is on both lines.