Write an equation of the line that passes through the given point and is parallel to the given line. Use this equation:

Question

Write an equation of the line that passes through the given point and is parallel to the given line.

Use this equation:

(4, 1); y= -2x + 7

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Harper 2 weeks 2021-09-09T12:47:06+00:00 1 Answer 0

Answers ( )

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    2021-09-09T12:48:39+00:00

    An equation of the line that passes through the given point and is parallel to the given line is: y = -2x+9

    Step-by-step explanation:

    Given equation of line is:

    y = -2x+7

    Let m1 be the slope of given line.

    As the equation of line is in slope-intercept form, the coefficient of x is the slope of the line

    So

    m1 = -2

    Let m2 be the slope of 2nd line

    m2 = -2

    as slopes of parallel lines are equal

    The slope-intercept form is:

    y =m_2x+b

    Putting the value of m2

    y=-2x+b

    Putting (4,1) in the equation

    1 = -2(4)+b\\1= -8+b\\b =1+8\\b=9

    Putting the values of m and b we et

    y = -2x+9

    An equation of the line that passes through the given point and is parallel to the given line is: y = -2x+9

    Keywords: Equation of line, slope

    Learn more about slope at:

    • brainly.com/question/1446205
    • brainly.com/question/1441585

    #LearnwithBrainly

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