Maths-
General
Easy

Question

The Points (2.1, - 4.2) and (2.5, - 5) form a proportional relationship. What is the slope of the line that passes through these two points?

hintHint:

Hint: 
The slope is the measure of the steepness of a line. It is the ratio of the vertical distance to the horizontal distance between two points on the line. In proportional relationships, the slope is the same as the unit rate and constant of proportionality. In the x - y coordinate plane, the slope of a line is given as
Slope = fraction numerator text  Change in  end text y space text - coordinate  end text over denominator text  Change in  end text x space minus text  coordinate  end text end fraction equals fraction numerator y subscript 2 minus space y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction

The correct answer is: - 2


    Given: Coordinate of point A: (2.1, - 4.2) and Coordinate of point B: (2.5, - 5)
    So, the slope of line AB can given as
    Slope of line AB = fraction numerator y subscript B minus y subscript A over denominator x subscript A minus x subscript A end fraction
    Slope of line AB = fraction numerator negative 5 minus left parenthesis negative 4.2 right parenthesis over denominator 2.5 minus 2.1 end fraction
    Slope of line AB = - 2
    Final Answer: Hence, the slope of the line passing through (2.1, - 4.2) and (2.5, - 5) is - 2.

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