Multiple Choice Question (MCQ)

Which of the following is the equation of a line that makes a 45-degree angle with the x-axis and has a y-intercept of 2?

  1. y=x+2

  2. ×

    y=x-2

  3. ×

    y=45x+2

  4. ×

    y=45x-2

  5. ×

    y=2x+45

Collected in the board: Coordinate geometry

Steven Zheng posted 1 month ago


Answer

  1. The function for a line looks line y = kx+b, inwhich k is the slope of the line and b is the y-intersect.

    To make a 45-degree angle with the x-axis, the line must have a slope of 1, so k = 1

    When x=0,we get y-intersect, that is

    y_{intersect} = b = 2

    So the line function is y=x+2

    A is the choice



Steven Zheng posted 1 month ago

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