Question 8888: I have this due tonight can anyone help me out please.....please
graph the following inequalities
y < x + 3
y < -2x + 4
Thank you for anyone who will kindly answer.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Before continuing with the solution, you must realize that both of the lines that you have given must be DOTTED lines, since they involve the symbol "<" or ">". Secondly, you must shade the area BELOW the lines, since you are looking for the areas in which "y < ". Use the graphs given below, but graph BOTH lines on the same xy axes. You are probably looking for the INTERSECTION, which would be the overlapping of the two areas shaded below the two lines. In other words, shade the area below BOTH lines.
The following graphs are thanks to a special solver written by Igor Chudov, the owner of this website. Send HIM the thank the note!!
| Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc |
Equation  describes a sloping line. For any
equation ax+by+c = 0, slope is  .- X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -3/1 = -3.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -3/-1 = 3.
- Slope is -1/-1 = 1.
- Equation in slope-intercept form: y=1*x+3.
|
| Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc |
Equation  describes a sloping line. For any
equation ax+by+c = 0, slope is  .- X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 4/2 = 2.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/1 = 4.
- Slope is -2/1 = -2.
- Equation in slope-intercept form: y=-2*x+4.
|
|
|
|
