Mathematics
Grade10
Easy

Question

Write the equation of the line that passes through the points (0, -5) and (4, 3).

  1. y=2x-5
  2. y=1/2x-5
  3. y=2x+5
  4. y=1/2x+5

hintHint:

slope of the line is (m) =   fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction    
 where ( x2 , y2 )  and ( x1 , y1 ) are points given 
now you have slope find intercept by using one point and slope of line .

The correct answer is: y=2x-5


    Given points are (0, -5) and (4, 3).
    Step1 :  slope of the line is (m) =   fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    Slope of line =left parenthesis 3 plus 5 right parenthesis divided by left parenthesis 4 minus 0 right parenthesis
    =8 divided by 4
    = 2
    Step 2 :     Let the y-intercept be b
    The slope-intercept form of equation of the line is y=mx+b
    Since the line passes through (0, -5), so, the y-intercept of the line is -5
    b= -5
    So, the equation of the line is y=2x-5

    if x = 0 , then the corresponding value of y will be intercept.

    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.