Which of the following is the point and slope of the equation y – 11 = 3(x + 13)? (-13, 11), 3 (13, 11),

Question

Which of the following is the point and slope of the equation y – 11 = 3(x + 13)?

(-13, 11), 3

(13, 11), 3

(-13, 11), -3

(-13, -11), 3

in progress 0
Madeline 5 days 2021-10-11T11:24:02+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T11:25:57+00:00

    Answer:

    (-13, 11), 3.

    Step-by-step explanation:

    This equation is written in the point-slope form of a straight line:

    y – y1 = m(x – x1)   where m = the slope and (x1, y1) is a point on the line.

    So comparing this with the given equation:

    y – 11 = 3(x + 13),

    we see that  y1 = 11 and -x1 = 13 so x1 = -13 and m = 3.

    0
    2021-10-11T11:25:59+00:00

    The answer is A.

    The equation simplifies to y=3x+50.
    So, C is already not an option.

    Now we just plug in points to see if the point works for the equation.

    A-11=3(-13)+50
    11=-39+50

    11=11

    Thus, this point falls on the line of this equation and is a point.

    So, the answer is A.

    I hope this helps!

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