Write the equation of a line parallel to the line x + 2y = 4 and passing through the point (3, 4) in slope-intercept form.

Question

Write the equation of a line parallel to the line x + 2y = 4 and passing through the point (3, 4) in slope-intercept form.

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Ivy 1 week 2021-09-14T22:17:58+00:00 1 Answer 0

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    2021-09-14T22:19:36+00:00

    Answer: y = x + 1

    Step-by-step explanation:

    The equation of a straight line can be represented in the slope intercept form as

    y = mx + c

    Where

    c represents the y intercept

    m represents the slope of the line.

    The equation of the given line is

    x + 2y = 4

    Comparing with the slope intercept form, slope = 1

    If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (3, 4) is 1

    To determine the intercept, we would substitute m = 1, x = 3 and

    y = 4 into y = mx + c. It becomes

    4 = 3 × 1 + c

    4 = 3 + c

    c = 4 – 3 = 1

    The equation becomes

    y = x + 1

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