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:

(-5, -2); y= 2/3x + 1

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Gianna 1 week 2021-09-09T12:27:00+00:00 1 Answer 0

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    2021-09-09T12:28:42+00:00

    Answer : Equation of line is y=Equation of line is y=\frac{2}{3}x+\frac{-5}{3}

    Step-by-step explanation:

    Theory :

    Equation of line is given as y = mx + c.

    Where, m is slope and c is y intercepted.

    Slope of given line : y = \frac{2}{3}x+1 is m= \frac{2}{3}

    We know that line : y = \frac{2}{3}x+1 is parallel to equation of target line.

    therefore, slope of target line will be \frac{2}{3}.

    we write equation of target line as y= \frac{2}{3}x+c

    Now, It is given that target line passes through point ( -5,-2)

    hence, point ( -5,-2) satisfy the target line’s equation.

    we get,

    y= \frac{2}{3}x+c

    -2= \frac{2}{3} \times -5+ c

    -5= \frac{-10}{3}+c

    c= \frac{-5}{3}

    thus, Equation of line is y=Equation of line is y=\frac{2}{3}x+\frac{-5}{3}

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