what is the equation of the line passing through the point (2,-1) with a slope of -3

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what is the equation of the line passing through the point (2,-1) with a slope of -3

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Nho 3 weeks 2021-09-03T13:54:46+00:00 1 Answers 0 views 0

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    2021-09-03T13:55:50+00:00

    Note: this answer assumes that the equation of the line must be in slope-intercept form.

    Answer:

    y= -3x + 5

    Explanation:

    When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula y-y_1 = m (x-x_1) first. In order to write an equation using this formula, the m, x_1, and y_1 must be substituted in for real values.

    The m represents the slope, so write the slope of this equation, -3, in its place. The x_1 and y_1 represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

    y-(-1) = -3(x-(2))

    y+1 = -3(x-2)

    Now, to put it in slope-intercept or y = mx + b form, just expand the right side and isolate y:

    y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5

    Therefore, y= -3x + 5 is the answer.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )