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Answers for “为什么我们要对一个区域着色而不是只画边界线?”

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Understand why

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We shade a region because an inequality has a range of answers, not just a single boundary value. The shaded region represents all the ordered pairs (x, y) that satisfy the inequality.

Conditions: The relation being graphed is an inequality.; The graph is in a two-dimensional coordinate system.

Understand why

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The region above y=−4y = -4 is shaded because the inequality y>−4y > -4 requires the y-coordinate to be greater than -4. On a standard coordinate plane, larger y-values are located above the horizontal line y=−4y = -4.

Conditions: The inequality restricts y.; The boundary is a horizontal line y=−4y = -4.

Find a method

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To graph y>x−2y > x - 2, first identify the slope (m=1m = 1) and y-intercept (b=−2b = -2) from the slope-intercept form. Plot the y-intercept and use the slope to plot additional points.

Conditions: The inequality is in two variables (x and y).; The inequality is strict (>).