Graphing Linear Inequalities

Front

What is the slope of the line represented by the equation y = -x + 4?

Back

m = -1

Front

What is the y-intercept of the line represented by the equation y = -x + 4?

Back

b = 4

Front

What is the y-intercept of the function y = -3x?

Back

b = 0

Front

What does the graph of a linear inequality represent?

Back

The region of the coordinate plane that satisfies the inequality.

Front

How do you graph the inequality y < -x + 4?

Back

Graph the line y = -x + 4 as a dashed line and shade below it.

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 (≤ or ≥), while a dashed line indicates they are not (< or >).

Front

What does the term 'y-intercept' mean?

Back

The y-coordinate where the line crosses the y-axis.

Front

How can you determine the slope from the equation of a line in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the slope of the line represented by the equation y = 2x - 3?

Back

m = 2

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

The line decreases from left to right.