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

in progress 0
Mia 2 weeks 2021-09-09T14:14:07+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T14:15:19+00:00

    the equation of line passing through given point parallel to y = -2x+7 is: y = -2x+9

    Step-by-step explanation:

    Given equation of line is:

    y = -2x+7

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

    Let m1 be the slope of given line

    m_1 = -2

    Let m2 be the slope of second line then

    m_2= -2

    The equation of line is given by:

    y= m_2x+b

    Putting the value of slope

    y = -2x+b

    Putting the point (4,1) in the equation

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

    Putting the value of b in the equation

    y = -2x+9

    Hence,

    the equation of line passing through given point parallel to y = -2x+7 is: y = -2x+9

    Keywords: Slope, intercepts

    Learn more about slope at:

    • brainly.com/question/664010
    • brainly.com/question/6594923

    #LearnwithBrainly

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )