Linear Equation in Two Variables

I have to take a college placement test and am studying the practive test. He is the question . . . What is the equation of the line that contains the points with (x,y) coordinates (-3,7) and (5,-1)? I know that the answer is y=-x+4, but I cannot remember from high school what I do to find the answer. What is the formula?


There are various ways. One is to first get the slope m using
(x1,y1) = (-3, 7) (x2,y2) = (5,-1)
m = (y2 - y1)/(x2 - x1) = -8/8 = -1
The equation for the line can be written by forcing it to go through the point (x1,y1) with slope m:

(y - y1) = m (x - x1)
y -7 = (-1)*(x + 3)= -x -4
y = -x + 3

  1. 👍
  2. 👎
  3. 👁
  1. wefdefef

    1. 👍
    2. 👎
  2. the pair of equation 7x+ky=k,14x+2y=k=1 represent coincident lines

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    In studying the responses to a multiple-choice test question,the following sample data were obtained. At the .05 significance level, test the claim that the responses occur with the same frequency. show work for test statistic &

  2. Math

    The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): Assume that the population standard deviation on each part of the test is = 100. a. What is

  3. math

    A student studying for a vocabulary test knows the meanings of 12 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that

  4. Computers

    1. Which of the following study tools would work well for studying Vocabulary? A. making an outline B. summarizing the textbook C. flash cards*** D. comparing notes to the test 2. Which of the following is helpful when studying

  1. math

    After grading the most recent chapter test, a science teacher asks twelve of his 10th-grade summer school students how long they studied for the test. Their answers, as well as their corresponding test grades, were recorded on a

  2. Statistics

    The ____________ is a hypothesis-testing procedure in which there are two separate groups at people tested and the population variance is not known. - t test for dependent means - t test for a single sample - t test for

  3. Statistics

    A group of 56 randomly selected students have a mean score of 30.8 and a standard deviation of ó = 4.5 on a placement test. Find a 95% confidence interval for the mean score, ì, of all students taking the test.

  4. Computer

    Multiple Choice Which of the following study tools would work well for memorizing vocabulary? A. making an outline B. summarizing the textbook C. flash cards D. comparing notes to the text Which of the following can be helpful

  1. language arts

    Please help I need the answers to this test. Lesson 10: Heritage Unit Test 1001040 M/J LANG ARTS 2 - T1 Unit 3: Heritage. I know I know this website is used for studying and not for cheating but please be a homie.

  2. english

    plz help me with this test before I get a F. And I want all the answers to the test. Also the test is for Conexus. and it is the unit test 3.

  3. statistics

    10th grade New York public school students taking a standardized English test produced test scores that were normally distributed with a mean of 85 and a standard deviation of 4. Let x be a random variable that represents the test

  4. mathematics

    Jake correctly answered 15 out of 25 questions in Test 1 and 18 out of 25 questions on test 2. On Test 3 he missed 5 out of 27 questions. Which test had the best score? A) Test 2 and Test 3 B) Test 2 C) Test 3 D) Test 1 ??

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