SOLUTION: y=2x-4 y=6x+4 and i need help graphing it with a sketch of the graph

Question 970918: y=2x-4
y=6x+4
and i need help graphing it with a sketch of the graph
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=2x-4
y=6x+4
The first has a slope of +2 and crosses the y-axis at -4.
The second has a steeper slope of +6 and crosses the y-axis at +4
Both go to the right 1 unit; one goes up only 2 units, the other 6 units..

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
if you have two equations of the line, to sketch a graph you need two points

make a table:
|
|...=>
|...=>=>
plot points and draw a line through

do same with

|
|...=>
|...=>=>=>

plot points and draw a line through

but, if you are given a system to solve, then you need to do it this way:

------------------write in standard form first

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

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