Math

My question is “The line passes through the points (-4.5, 2) and (6.3, 5.8).” I have to create an equation in y=mx+b form for these points. Can someone please help me. I don’t know how to solve this, because I wasn’t taught it. Please just give any help you can. Thank You!

  1. 👍
  2. 👎
  3. 👁
  1. y=mx+b You have one equation, two unknowns, and you have two solutions given, so, you can solve it. Start with the first point (-4.5, 2)
    Y=mx+b
    2=m(-4.5)+b
    2=-4.5m+b Now the second point (6.3, 5.8)
    5.8=6.3m+b Now you have two equations, two unknowns
    2=m(-4.5)+b
    5.8=6.3m+b
    subtract the first equation from the second...
    3.8=10.8m so you have m.
    then put m into either equation, and solve for b

    1. 👍
    2. 👎
    👤
    bobpursley
  2. Thanks

    1. 👍
    2. 👎
  3. or

    slope = (5.8 - 2)/(6.3+4) = 3.8/10.8 = 19/54

    so the equation is y = (19/54)x + b
    sub in the "easiest point", namely (-4.5 , 2)
    2 = (19/54)(-9/2) + b , -4.5 = -9/2
    2 + 19/12 = b
    b = 43/12

    y = (19/54)x + 43/12

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)? a) -3 b) -2 c) -1/3 d) 1/3*** 2) a line has slope -5/3. Through which two points could this line pass? a) (12, 13),(17, 10) b) (16, 15), (13,

  2. Algebra

    1. Find the slope of a line that passes through (-2 -3) and (1 1). a. 1/3 b. 1 c. 2 d. 4/2 2. For the equation -4y=8x, what is the constant of variation? a. -4 b. -2 c. 1 d. 2 3. What is an equation in slope-intercept form for the

  3. Algebra

    1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)? A. -3 B. -2 C. -1/3 D. 1/3 2. A line has a slope -5/3. Through which two points could this line pass? A. (12, 13) and (17, 10) B. (16, 15) and

  4. Math

    A line passes through the points (1,2) and (5,3). Another line passes through the points (5,3) and (0,0). Will the two lines intersect? Explain your reasoning.

  1. Algebra

    Line n passes through points (7, 12) and (4, 15). What is the slope of a line that is perpendicular to line n?

  2. Math

    1) Use the point on the line and the slope m of the line to find three additional points through which the line passes. (There are many correct answers.) (1, 6), m is undefined the options for 2 are a) (1, -2), (-1, -2), (-2, -2)

  3. Math

    Write the equation of each line using the given information. a. The points (−4,1) and (2,4) both lie on the line. b. m=−1 and the point (2,−1) lies on the line. c. It has the same slope as y=5 and passes through (1,1). d.

  4. Algebra

    1.What is the slope of the line that passes through the pair of points (3,8) and (9,5)? Options -2 2 1/2 -1/2 2.Write an equation in point-slope form for the line Through the given point with the given slope. (8,3);m=5 Options

  1. analytic

    One line passes through the points (1,9) and (2,6), and another line passes through (3,3) and (-1,5). Determine the acute angle between the two lines.

  2. Math

    Consider the points A(0,0), B(2,3), C(4,6), and D(8,12). A student plotted the points and drew a line through the points. Then, he created a triangle using points A and B and another triangle using points C and D. What is the rate

  3. Algebra

    Please Check My Anwsers What is the slope of the line in the graph show below? /content/media/390571-1122011-42500-PM-1076804072.png A) -2 B) -1 C) 1 (My Choice) D) 2 Find the slope of a line that passes through (–2, –3) and

  4. math

    For 1-10, determine whether the lines are parallel, perpendicular or neither. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4,

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