Question

Will Medal!

Answer 1

Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. Provide the solution to the system and explain what the solution represents on the graph.

x + 4y = -16
3x + 2y = 12

Answer 2

y=-x/4 -4 and y=3/2x-6

Answer 3

I don't know how much detail is required for this problem.

Graph the two lines and look for the point where they intersect.

The point of intersection of the two lines, (8,-6), is the solution to the system of equations.

This means that (8, -6), when substituted into either equation, will make them both true.

Answer 4

how did you get 8,-6?

Answer 5

@Directrix i got everything except for how you got those two points.

Answer 6

How would you graph the lines without the points? just using y=mx+b and plotting the rise over run and intercept?

Answer 7

(8,-6) is exactly one point. It is made up of an x-coordinate and a y-coordinate. I used a graphing program to get the graph of the system.

Answer 8

and (8,-6) is just where the two lines intercept?

Answer 9

Two points determine a line.

If I were graphing x + 4y = -16 by hand, I would make up the x value of 0 and find the corresponding y valus. Then, I would let y = 0 and find the x value for that. Then, I would plot the two points on graph paper and draw the line.

x = 0

x + 4y = -16

0 + 4y = -16

4y = -16

y = -4

(0, -4) is one point on the first line.

Another point on the first line is (-16,0)