What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14

Question

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14

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Thành Công 2 weeks 2021-07-19T23:33:40+00:00 1 Answers 3 views 0

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    2021-07-19T23:35:08+00:00

    Answer:

    4x – y = -5

    Step-by-step explanation:

    The equation of a new line which is parallel to old line 4x – y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

    4x – y = 14     becomes     4x – y =  C

    Now substitutte -2 for x, -3 for y and calculate C:

    4(-2) – (-3) = C, or

    -8 + 3 = C = – 5

    Thus, the new equation is 4x – y = -5

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