Math

posted by .

Find the equation of the straight line joining

a)(4, 4) and ( 2, 0)
b)(3, -1), (5, 4)

i also need to know how you went about solving this problem so i can understand.. many thanks

  • Math -

    take the generic straight line:

    y=mx + b.
    Put in the first point: (4,4)
    4=4m+b let this be the equation 1)
    put in the second point in the generic
    0=2m+b
    Now you have two equations, and two unknowns (m,b). Solve them. In this case subtract the second equation from the first, which yields
    4=2m or m=2
    This makes b=-4 check that.

  • Math -

    A slight variation of bobpursey's method for #2

    slope = (4+1)/(5-3) = 5/2

    let the equation be y = (5/2)x + b
    sub in the point (5,4)
    4 = 5/2(5) + b
    8 = 25 + 2b
    b = -17/2

    so y = (5/2)x - 17/2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math help & correction

    Problem #1 Is this correct or wrong? Find the slope of the line passing through the points(-1, -1)and(-1, 2). Write the equation of the line. For this one I KEEP GETTING Y= - (3)/(2)x-2.5 Problem #2 Find the y-intecept and slope of
  2. Maths

    Hi How can we get an equation for a straight line cause I went in many websites and nothing suited me thankx The equation for a straight line is: a x + b y + c = 0
  3. math

    What strategy did you use in solving this problem?
  4. Math(word problem)

    For the line joining points A(-1, 3) and B(5, 7): a.Find the midpoint of the line. b.Find the distance of the line. c.Find the slope of the line. d.Find the y-intercept of the line. e.What would be the slope of a line perpendicular …
  5. Linear Inequality + graphing?

    don't quite understand how to go about finding the answer to this problem. I have to find two different points for a line, graph it, and also above or below the line to show the relationship. How do I go about doing this?
  6. algebra

    don't quite understand how to go about finding the answer to this problem. I have to find two different points for a line, graph it, and also above or below the line to show the relationship. How do I go about doing this?
  7. Maths

    Point P(-8,-3)and Q(6,9)are joined by a straight line.Find the equation of the line joining the midpoint of PQ to the origin.
  8. add maths

    Find the equation of the perpendicular bisector of the straight line joining the points A(-1,0)and B(3,4).
  9. Math

    In this problem we consider drawing some straight lines which form a nice pattern. Consider joining the point (0.1,0) to the point (0,0.9) by a line segment; then joining (0.2,0) to (0,0.8) by a line segment; and so on. In general, …
  10. Precalculus

    Considering the line segment joining A(-5, 2) and B(7, 8), find an equation, in the form of Ax+By=C, that expressed the fact that a point P(x, y) is equidistant from A and from B. How would I go about even attempting this problem?

More Similar Questions