Question

PLEASE ANSWER ASAP

Answer 1

Answer:

Step-by-step explanation:

I'll assume these are the equations:

11x + y =  18

4x + y  = 18

-2x - 2y = 18

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The easiest approach to graphing, for me, is to rearrange each to y=mx+b (slope-intercept) format:

• y = -11x+18      y-intercept of 18      (0,18)
• y = -4x + 18     y-intercept of 18      (0,18)
• y =   - x -9       y-intercept of -9      (0,-9)

It seems to me that all three can be graphed easily from simply reading the slope and y-intercept values.  Since these are straight lines, all we need is two points for each line, and one is standing out in plain view, the y-intercept:  (0,y-intercept).  The second point can be determined by using whatever value of x makes the calculation easy

An example:  y =  - x -9.  Plot (0,-9) for the y intercept, and then calculate one additional point (e.g., for x = - 9).  (-9,0)  Then connect a straight line between these two points and presto (metric term for magic), a graph. For the first equation, I picked 20 for x.  For x = 20, y = -29.  That was easy, and we have the second point:  (1,-10)

See the attachment for how this was done.  The first points are all for the y-intercept (0,[18 or 9]).  All of the second points were calculated in my head by using a convenient value for x.

This approach doesn't work well for non-linear equations.  There, I find it easier to set up a table of values - a spreadsheet such as Excel is my tool for the calculations.

The attachment also demonstrates the Really Easy Way to graph functions.  DESMOS, a free, and excellent, online calculator.