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10 January, 19:11

A line has a slope of - 3 and a y-intercept of 3. A coordinate plane. What is the x-intercept of the line?

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  1. 10 January, 20:00
    0
    x - intercept = 1

    Step-by-step explanation:

    The equation of a line in slope - intercept form is

    y = mx + c (m is the slope and c the y - intercept)

    Here m = - 3 and c = 3, thus

    y = - 3x + 3 ← equation of line

    The x - intercept has a y - coordinate of zero.

    let y = 0 in the equation and solve for x, that is

    - 3x + 3 = 0 (subtract 3 from both sides)

    - 3x = - 3 (divide both sides by - 3)

    x = 1 ← x - intercept
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