Maths-
General
Easy

Question

Sketch the graph of y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2

hintHint:

A linear equation is in the form ax + by + c=0
A graph is a geometrical representation of an equation. A coordinate point (x, y) consists of the distance from the horizontal and vertical axis as coordinates.
We are asked to sketch the graph of the given equation.

The correct answer is: - 1


    Step 1 of 2:
    Find two coordinate points of the given equation,
    When                              x = 0,y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2
    y equals fraction numerator negative 3 over denominator 4 end fraction left parenthesis 0 right parenthesis plus 2
    y = 0 + 2
                                                   y = 2
    When x = 4,
    y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2
    y equals fraction numerator negative 3 over denominator 4 end fraction left parenthesis 4 right parenthesis plus 2
    y = - 3 + 2
                                                 y = - 1
    Thus, the required points are:
    Step 2 of 2:
    Plot the points and join them to get the graph of the equation.
    Thus, the required graph is:

    We only require just two coordinate points to graph a linear equation in two variables. In case of a quadratic equation we would need at least three coordinate points.

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