Math-due today, need a check

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 y-intercepts. 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 x-intercept is, and what the y-intercept is. The x-intercept of the graph of a function, or linear equation is the point where the graph crosses the x axis, whereas the y-intercept 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 x-intercept 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 y-intercept, 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=24-12
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.

  1. 👍 0
  2. 👎 0
  3. 👁 461
  1. You have it exactly right.

    1. 👍 0
    2. 👎 0
    👨‍🏫
    bobpursley
  2. -8×+6y=24 find the x and y intercepts

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. EDTECH

    Which of the following is a good test-taking strategy for multiple-choice questions? A)answer C is almost always the correct answer, so pick answer C if you don't know the answer. B)read the answers first, then read the question.

  2. Technology

    Which of the following is not an example of an Objective question? Multiple choice Essay True/false Matching•• Why is it important to recognize the key word in an essay question? It will provide the answer to the essay It will

  3. Math

    Question 2 For the function f(x) = 3x2-2x-7, find f(2). Answer f(2) = 13 f(2) = 25 f(2) = 1 f(2) = 1/2 3 points Question 3 One day you work 3 hours and your boss gives you $22. Another day after working 4 hours your boss gives you

  4. check english answers please??

    Match the definition with the appropriate word. A. an appeal to logic B.the emotion that a speaker demonstrates towards his or her subject C.an appeal to the credibility of the speaker D.an appeal to the emotion E.devices in a

  1. help me for this stupid worksheet

    the question is.. why did the ghost decide to haunt city hall? urgh i don't fee like doing it so im hoping someone has the answer :] You might have gotten an answer if you'd told us the source of your question. To which story,

  2. Math

    I'm in seventh grade and working on this math test based on lines and planes. I'm stuck on this one question and I don't understand what the question is asking me to do. The question is: Identify a segment skew to GH. I am not

  3. Technology

    1. Which of the following is NOT an example of a objective question? A. multiple choice B. essay** C. true/false D. matching 2. Why is it important to recognize the key word in an essay question? A. It will provide the answer in

  4. english

    For the following questions, match each word to its definition by filling in the correct letter. wise deceptively charming enormous passion sound; fit competing awe-inspiring sinister; threatening Use the word bank to answer the

  1. Statistical concept 68-95-99.7

    1. A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, and so he decides to take a random guess on both questions. One question is true-false and the other is multiple

  2. SPANISH

    Complete the following sentences with the correct answer choice. Estoy __________ un bistec. comer como come comiendo Flag this Question Question 13 5 pts Complete the following sentences with the correct answer choice.

  3. Statistics

    Richard has been given a 5-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he does not know any of the answers.

  4. chemistry

    Predict the precipitate that forms: HCl + AgNO3 --> ??? i don't know what the answer is but i think it is Cing04 AgCl. You need to learn the solubility rules. If you don't have a web site I can give you one. hey watz up can you

You can view more similar questions or ask a new question.