Mathematics
Grade10
Easy

Question

Find the equation of the line that matches the graph.

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

hintHint:

equation of line in slope intercept form is y = mx + c 

where c is intercept on y axis and m is slope of line 


 

The correct answer is: y = 1/4 x + 2


    From the graph, the y-intercept is 2.
    step1 :  taking ( 4 , 3 )  and ( -4 , 1 ) points
    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
    fraction numerator 3 minus space 1 space over denominator 4 space minus space left parenthesis negative 4 right parenthesis space end fraction space equals space 1 fourth
    Substitute the values of m and b in slope-intercept form.     y = mx + c 
    y equals 1 fourth x plus 2

           Slope of line is =   fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction

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