Special Lines, Inequalities and Systems

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = c, where c is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = c, where c is a constant.

Front

What does the graph of y = 3 look like?

Back

The graph of y = 3 is a horizontal line that crosses the y-axis at 3.

Front

What does the graph of x = -1 look like?

Back

The graph of x = -1 is a vertical line that crosses the x-axis at -1.

Front

How do you represent a linear inequality graphically?

Back

A linear inequality is represented by a shaded region on one side of the line, indicating all the solutions.

Front

What is the difference between y < 3 and y ≤ 3?

Back

y < 3 means the line is dashed (not including 3), while y ≤ 3 means the line is solid (including 3).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept of the line y = -2x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.