What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

Question

What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

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Kaylee 2 weeks 2021-09-14T21:40:50+00:00 1 Answer 0

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    2021-09-14T21:42:29+00:00

    Answer:

    The line equation is given as: 3 y = 2 x – 9

    Step-by-step explanation:

    Here, Y intercept   is at point ( 0.-3)

    So, at x = 0, y = -3

    or, C  = -3

    Also, the point on the equation line is (x,y)  = (-9,-9)

    Now, by SLOPE INTERCEPT FORM of a line equation,we get:

    y = m x + C   :  m  = slope of line  ……… (1)

    So, substituting the values of C and (x,y) , we get:

    -9  = m (-9)  + (-3)  

    or, -9 + 3  = – 9 m

    or, m =  -6/-9  = 2/3

    or, m = 2/3

    Now, substitute the value of m back in to the line equation (1)

    y = m x + C   \implies  y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9

    Hence, the line equation is given as: 3 y = 2 x – 9.

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