What is an equation of the line that passes through the point (3,-1) and has a slope of 2?

Question

What is an equation of the line that passes through the point (3,-1) and has a slope of 2?

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    0
    2021-09-09T02:05:15+00:00

    The equation of this line would be:    

    y=2x-7

    0
    2021-09-09T02:05:50+00:00

    First, we know that it’s a line so its equation must be y=ax + b in which a represents the slope, b the origin, x and y the coordinates of a point.

    We know that the slope is 2 (so a = 2) and that this line passes through the point  A (3, -1) so x = 3 and y = -1. We need to find b.

    y = ax + b

    -1 = 2*3 + b

    -1 = 6 + b

    b = -7.

    So the equation of this line is: y = 2x – 7

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