7.3 Writing Inequalities from Graphs

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run between two points on the line.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does the x-intercept represent on a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning y = 0.

Front

What does the y-intercept represent on a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning x = 0.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, while a dashed line indicates they are not.

Front

What does the inequality x < -1 represent on a number line?

Back

It represents all numbers to the left of -1, not including -1 itself.

Front

How do you determine if a point is part of the solution set for an inequality?

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is part of the solution set.

Front

What is the solution set of the inequality y > 2?

Back

The solution set includes all points above the horizontal line y = 2, not including the line itself.

Front

What does the inequality x ≥ -1 represent on a number line?

Back

It represents all numbers to the right of -1, including -1 itself.

Front

How can you graph the inequality y ≤ 3?

Back

Graph the horizontal line y = 3 as a solid line and shade below it to indicate all points where y is less than or equal to 3.