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

Hint:

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.

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