I need Algebra 1 Help.?

Question

I need to Know how to solve a system by graphing.
Ex: {y=x-2
y=3x+2

The question is exactly the way I've written it.
Ex:{y=x-2
y=3x+2

Answer 1

x-2=3x+2
2x=-4
x=-2
y=x-2=-2-2=-4
if you make the graphs for both equations you will see that they cross at the piont with x=-2 y=-4 coodinates

Answer 2

do you know how to graph these? you have to use the slope.

if you substitute, you know that x-2 = 3x-2. the equations won't make any sense if x = anything other than 0, so that means x has to equal 0. from there, you know that y = -2.
then, you use the slope to find where the x-axis intercept is.
for the first equation, the slope is 1 because there is no number before the x. since slope is rise-over-run, from -2 you go up 1 and over 1, which gives you (1, -1). so you can graph that y = x - 2 intersects the points (0, -2) and (1, -1).
for the second equation, the slope is 3. so you go up 3 and over 1, which gives you (1, 1). so the second line y = 3x - 2 intersects the points (0, -2) and (1, 1).

in the end, y=x-2 is a line that intersects the x-axis at 2 and the y-axis at -2.
y=3x-2 is a line that intersects the x-axis at about 0.7 and the y-axis at -2.

hope this helps, email me if you need more explanation. :]

Answer 3

well, usually the first thing you do is put it in 'y =' form, but thats already how it is.
so, for 'y=3x+2' you would start off by graphing the y intercept which is 2 in this case. so put a point on 2 on the y axis.
then you start doing your slope (rise/run) which is 3
so from your y intercept, you go up 3 over 1, up 3 over 1 a few times.
then, do the exact same thing for 'y=x-2' so your intercept would be
-2, and you would go up one over one.
the point where the line intersects would be your Point of Intersection which is what you're trying to find.

hope i made that clear?

Answer 4

y=x-2
y=3x+2, the lines intersect, their is one solution (-2,-4).

when you graph

If the two lines intersect, their is one solution.
If the two lines are parallel, there is no solution.
If the two lines coincide, there are an infinite number of solutions.


Take a look at Solve by Graphing: It will help you to understand.



Step 1: Graph the first equation.



Unless the directions tell you differently, you can use any "legitimate" way to graph the line. Our tutorials show three different ways. Feel free to review back over them if you need to: Tutorial 12: Graphing Equations shows how to graph by plotting points, Tutorial 14: Graphing Linear Equations shows how to graph using intercepts, and Tutorial 16: Equations of Lines shows how to graph using the y-intercept and slope.

http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut19_systwo.htm

Step 2: Graph the second equation on the same coordinate system as the first.



You graph the second equation the same as any other equation. Refer to the first step if you need to review the different ways to graph a line.
The difference here is you will put it on the same coordinate system as the first. It is like having two graphing problems in one.




Step 3: Find the solution.



If the two lines intersect at one place, then the point of intersection is the solution to the system.

If the two lines are parallel, then they never intersect, so there is no solution.


If the two lines lie on top of each other, then they are the same line and you have an infinite number of solutions. In this case you can write down either equation as the solution to indicate they are the same line.




Step 4: Check the proposed ordered pair solution in BOTH equations.



You can plug in the proposed solution into BOTH equations. If it makes BOTH equations true then you have your solution to the system.
If it makes at least one of them false, you need to go back and redo the problem.



http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut19_systwo.htm

http://www.algebra-online.com/graphing-systems-equations-1.htm

Answer 5

Assuming that you know how to graph linear equations, just find where the two lines intercept and that's your answer.

Note: Occasionally there is a problum that has no or many solutions (the lines don't intersect or are on top of each other) In that case write no solution or many solutions.

Answer 6

if u have a graphing calculator then put 3x+2 in y= which is the button on top near the screen then you change ur window settings and if you dont you draw a graph and set it up and put a dot in 0,2 and go over 3 up 2 and place another dot and just keep going over 3 up 2

Answer 7

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Answer 8

w3LL wHaTs x??