Math/Algebra
posted by L on .
Please help me with this, below is a question I have to answer…below that is my answer…did I do, or answer this correctly?
Post a response of at least 50 words to the following: Explain how to graph linear equations using the x and yintercepts. Provide an example to support your response.
When graphing a linear equation using the x and y intercepts, we first need to be familiar with what the xintercept is, and what the yintercept is. The xintercept of the graph of a function, or linear equation is the point where the graph crosses the x axis, whereas the yintercept is the point when the graph crosses the y axis. Only one line can be drawn through two points that are given. So if we know the intercepts we can draw a line, or graph the line. Therefore, we graph a linear equation by finding the intercepts by solving for x, then solving for y, or vise versa.
For example if I wanted to find and graph the x, and y intercept of the linear equation: 4x+6y=24
I would first solve for y by letting x=o, such as: 4(0) +6y=24
6y=24
Y=4
So, the y intercept is (0, 4)
Now, to find the x intercept we do the same as we did for finding why, but instead of letting x=o, we let y=0
4x+6(0) =24
4x+6(0) =24
4x=24
X=6
So, the x intercept is (6, 0)
Now that we have the points we can graph
For the xintercept we first move to the right 6 times and because the second point is a zero, we plot on the line. Now to plot the yintercept, we start at zero and stay because that is our first point, then to plot the second point we move by four and plot. Now we graph y drawing a straight line through the two given points. To check if this is correct, it is a good thing to solve by using a third point to check. I will use 3 in the place for x and solve for y.
4(3) +6y=24
12+6y=24
6y=2412
6y=12
Y=2
So, the next set we plot will be (3,2): we move to the right 3 times and up 2 and plot, then graph by drawing a line through this point.
This set of points is on the line.

again, exactly right.