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A. Consider a line with slope m and y-intercept b. The ordered pair that represents the y-intercept is ( ,...

A. Consider a line with slope m and y-intercept b. The ordered pair that represents the y-intercept is ( , ).
B. Recall that slope is rise over run, or the ratio of change in y to change in x. Complete the equation for the slope m of the line using the point from Part A and another point on the line (x, y).
C. Solving the equation from Part B for y gives y = mx + b. The y = mx + b form of the equation of a line is called slope-intercept form, where m is the slope of the line and b is the y-intercept.

Answer

  1. A. The ordered pair that represents the y-intercept is (0, b).

  2. B. The equation for the slope m of the line using the point from Part A and another point on the line (x, y) is m = (y - b) / (x - 0) or m = (y - b) / x.

  3. C. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.

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