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General
Easy

Question

What is a linear function in the form y = mx + b for the line passing through (4.5 , - 4.25) with y – intercept  2.5?

hintHint:

Use slope – intercept formula

The correct answer is: y = -1.5x + 2.5


     It is given that y – intercept is 2.5 i.e. the point is
    (0 , 2.5) and second point is (4.5 , - 4.25)
    Slope of the line,  m  = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
                                                                                          = fraction numerator 2.5 minus left parenthesis negative 4.25 right parenthesis over denominator 0 minus 4.5 end fraction  = fraction numerator 6.75 over denominator negative 4.5 end fraction = - 1.5
    Using slope – intercept form, equation of the line is
    Y = mx + c ,  where c is the intercept and m is slope
    Y = - 1.5x +  2.5

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