Graphing Systems & Inequalities

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

How do you determine if a point is a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

What is the graphical representation of a linear inequality?

Back

A linear inequality is represented by a shaded region on one side of the boundary line, which indicates all possible solutions.

Front

What does the symbol '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '≥' indicate in an inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

How can you tell if a system of inequalities has no solution?

Back

A system has no solution if the shaded regions of the inequalities do not overlap.

Front

What is the solution to the system of inequalities y > 2x + 1 and y < -x + 4?

Back

The solution is the region where the shaded areas of both inequalities overlap.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you graph a system of inequalities?

Back

Graph each inequality as a line, then shade the appropriate region for each inequality, identifying the overlapping area.