Question

A graph of a line goes through the points (zero, four) and (negative six, zero).

Find the equation of the line using exact numbers.

Answers

  1. The equation of the line is y = 2/3x + 4

    How to find the equation of the line using exact numbers?

    The points on the line are given as:
    (zero, four) and (negative six, zero).
    Rewrite the points properly as
    (0, 4) and (-6, 0)
    The slope of the line is calculated using:
    m =(y2 – y1)/(x2 – x1)
    Substitute the known values in the above equation
    m = (0 – 4)/(-6 – 0)
    Evaluate
    m = 2/3
    The equation of the line is then calculated as:
    y = mx + b
    This gives
    y = 2/3x + b
    So, we have:
    4 = 2/3 * 0 + b
    Evaluate
    b = 4
    Substitute b = 4 in y = 2/3x + b
    y = 2/3x + 4
    Hence, the equation of the line is y = 2/3x + 4
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