Maths-
General
Easy

Question

Line t is shown in the xy-plane below.

What is the slope of line t ?

The correct answer is: 2/5


    HINT – Use the points given on the graph to find the slope
    SOLUTION – The points given are ( 9 , 3 over 5 ) , ( 5 over 2 , - 2) and (- 6 , -  27 over 5)
    Slope of a line  =  fraction numerator y subscript 1 minus y subscript 0 over denominator x subscript 1 minus x subscript 0 end fraction
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals fraction numerator negative 2 minus 3 over 5 over denominator 5 over 2 minus 9 end fraction equals fraction numerator left parenthesis negative 10 minus 3 right parenthesis 2 over denominator 5 left parenthesis 5 minus 18 right parenthesis end fraction end cell row cell equals fraction numerator negative 13 cross times 2 over denominator 5 cross times left parenthesis negative 13 right parenthesis end fraction equals 2 over 5 end cell end table
    So, slope of the given line is 2 over 5

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