graph by solution
y= 7/4x-4
y= -1/4x+4
I think you mean "solve by graphing"
visit
http://rechneronline.de/function-graphs/
for excellent graphing help.
Be sure to use parentheses for proper grouping.
sorry!
can you solve for me? I don't understand how to work the site.
I don't know how you can have trouble at the site. If you just enter
7/(4x-4)
and
-1/(4x+4)
into the first two function boxes, and click "Draw", you will see the graphs and where they intersect. That appears to be (-3/4,-1).
Algebraically, set them equal:
7/(4x-4) = -1/(4x+4)
7(4x+4) = -1(4x-4)
28x+28 = -4x+4
32x = -24
x = -3/4
so, y = 7/(-7) = -1
To graph the given system of equations, we need to find the solutions for both equations and then plot those points on a graph.
Let's solve the first equation, y = (7/4)x - 4:
1. Start by choosing values for x. You can select any values, but it's usually helpful to choose integers to make the calculations easier.
2. Let's choose x = 0 and substitute it into the equation:
y = (7/4)(0) - 4
y = -4
So, one point on the graph is (0, -4).
3. Choose another value for x. Let's choose x = 4:
y = (7/4)(4) - 4
y = 7 - 4
y = 3
So, another point on the graph is (4, 3).
4. Repeat the process for a few more x values to get more points. Let's choose x = -4, -8, and -12:
When x = -4, y = (7/4)(-4) - 4 = -11
When x = -8, y = (7/4)(-8) - 4 = -15
When x = -12, y = (7/4)(-12) - 4 = -19
The additional points are (-4, -11), (-8, -15), and (-12, -19).
Now, let's solve the second equation, y = (-1/4)x + 4, using the same process:
1. Choose x = 0:
y = (-1/4)(0) + 4
y = 4
So, one point on the graph is (0, 4).
2. Choose x = 4:
y = (-1/4)(4) + 4
y = 4 - 1
y = 3
So, another point on the graph is (4, 3).
3. Choose x = -4, -8, and -12:
When x = -4, y = (-1/4)(-4) + 4 = 5
When x = -8, y = (-1/4)(-8) + 4 = 6
When x = -12, y = (-1/4)(-12) + 4 = 7
The additional points are (-4, 5), (-8, 6), and (-12, 7).
Now that we have several points for each equation, we can plot them on a graph and draw a line passing through the points for each equation.
The graph should show both lines intersecting at a point (the solution to the system of equations), or they may appear parallel indicating no solution.