Pearson math 6 b graphing equations and inequalities quick check assement review

Answer 1

Graphing Equations:

To graph an equation, we typically plot points on a coordinate plane and then connect them with a line. The equation of a line is typically in the form y = mx + b, where m is the slope and b is the y-intercept.

For example, the equation y = 2x + 3 has a slope of 2 and a y-intercept of 3. You can start by plotting the y-intercept at (0, 3) and then using the slope to plot additional points to draw the line.

Graphing Inequalities:

When graphing inequalities, we use shading on a coordinate plane to represent the solution set. For example, the inequality y ≤ 2x + 1 can be graphed by shading the region below the line y = 2x + 1.

To determine which side of the line to shade, you can pick a test point not on the line, such as (0, 0), and plug it into the inequality. If it is true, shade the region containing the test point. If it is false, shade the other region.

In conclusion, reviewing how to graph equations and inequalities by plotting points, determining the slope, and using shading on a coordinate plane will help you prepare for the quick check assessment.