Description
I am stuck on this problem and I have a quiz with these problems tommorow! How do I solve 3x+4y=8 and x-2y=6 and graph it?
Explanation & Answer
Ok first you solve for y (y=x format)
3x+4y=84y=8-3x
Divide by 4
y=2-(3/4)x
now you know the slope is -3/4 and the y intercept is 2
How to graph: Knowing the y-intercept is 2, plot a point at (0,2) "x=0, y=2", and trace a point backwards from there using the slope until the x-axis is reached
Rise over run method
Now how to trace this starting from a single point y=2 and x=0, excuse my mouse writing:
You trace the pencil down -3 spaces, then go over +4 spaces, then trace a full line when have enough points.x-2y=6
-2y=6-x
Divide by -2
y=-3+(1/2)x
Here you know the y intercept is -3 and the slope (rise over run) is (1/2)
Use the same method to graph this starting at y=-3 and x=0
Here starting at (0,-3), you would trace up one point (positive 1), then over 2, then repeating again until you have enough points to plot a long line for the graph.
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