Question

PLEASE HELP ME!!!!!


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)

Answer 1

Part A: In order to distinguish the two line, make the Y in (formula of) the first line a Y1 and the other Y2.

Y1= -x +2
Y2= 4x +3

Now when the two lines intersect the values for the Y's at that point must be equal. So

-x +2 = Y1 = Y2 = 4x +3

Part B: What? Make tables? Doesn't you teacher know algebra?

-x +2 = 4x +3

Isolate the x's

2-3 = 4x +x
-1 = 5x
x = -1/5 = - 0.2 ==> Y1 = Y2= -(-0.2) + 2 = 2.2

So the lines should intersect at the point (-0.2, 2.2)

Part C: To do this (easily) put both equations in slope-(y)intercept form. y = mx +b
In this form m= the slope (rise/run) and b= the y-intercept = the point on the y-axis where the line crosses the y-axis.

So for Y1= -x +2 , put a little mark on the vertical (Y) axis at +2,

now from that point, count 2 (unit spaces) to the right, then from there count down 2 spaces and put a little mark.
Now connecting those 2 points draws the first line.

For Y2= 4x+3, find 3 units up on the y-axis (mark), now from there move to the right 3 units,
From there move up 12 spaces and put a mark. I used 3 and 12 because m=4=12/3. Now connect the two marks to draw the second line.

Again, the lines should intersect at the point (-0.2, 2.2)

Answer 2

is this your own work?

Answer 3

why?

Answer 4

cuz i can't use the ones on the other sites

Answer 5

what do you mean

Answer 6

reasons

Answer 7

can someone please help???

Answer 8

may you just try draw the y = -x +2 and y = 4x +3

Answer 9

well it wasnt me that posted that it was my sister she gets o my account and i dont know if she answered it her self

Answer 10

just try