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Linear Equations & Functions Flashcards

7 cards from real REGENTS-ALGEBRA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Linear Equations & Functions flashcards as text

  1. What is the slope of the line represented by the equation y = 3x - 7?

    Answer: 3

    In slope-intercept form y = mx + b, the coefficient of x is the slope, which is 3.

  2. Which equation represents a line with a slope of -2 and a y-intercept of 5?

    Answer: y = -2x + 5

    Slope-intercept form is y = mx + b where m = -2 and b = 5, giving y = -2x + 5.

  3. What is the y-intercept of the line 4x + 2y = 12?

    Answer: 6

    Setting x = 0 gives 2y = 12, so y = 6; the y-intercept is 6.

  4. The slope of the line passing through points (2, 5) and (6, 13) is:

    Answer: 2

    Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

  5. Which of the following lines is parallel to y = 4x + 1?

    Answer: y = 4x - 3

    Parallel lines have the same slope; y = 4x - 3 has slope 4, same as the original line.

  6. What is the x-intercept of the line y = 2x - 8?

    Answer: x = 4

    Setting y = 0 gives 0 = 2x - 8, so x = 4.

  7. A line has slope 0. Which statement best describes it?

    Answer: The line is horizontal.

    A slope of 0 means no rise for any run, resulting in a horizontal line.