Mathematics
Grade10
Easy

Question

Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)

  1. y - 5 = 2(x + 3)
  2. y + 5 = 2(x - 3)
  3. y - 3 = 2(x + 5)
  4. y + 3 = 2(x - 5)

hintHint:

Slope of a line that passes through (x1,y1), (x2, y2)
m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
Point-slope form of equation of a line is y - y1 = m (x - x1)

The correct answer is: y + 5 = 2(x - 3)


    Given The points (3, -5) and (5, - 1).
    Step1 : calculating slope
    Slope of a line that passes through (x1,y1), (x2, y2)
    m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    =left parenthesis negative 1 plus 5 right parenthesis divided by left parenthesis 5 minus 3 right parenthesis
    =2
    Step 2 : making point slope form
    Point-slope form of equation of a line is y - y1 = m (x - x1)
    Substitute point (3, -5) and m value.
    y + 5 = 2 (x -3)
    y + 5 = 2 (x -3) , is desired equation .

    First calculate the slope making use of two points
    and then using slope and point construct the equation of line.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.