Writing & Solving Linear Functions, Equations, & Inequalities

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

Front

How do you find the y-intercept of a linear equation?

Back

Front

What is the standard form of a linear equation?

Back

Front

How do you solve a system of linear equations?

Back

A system of linear equations can be solved using various methods such as substitution, elimination, or graphing. The solution is the point where the lines intersect.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, <=, or >=, indicating that one expression is less than, greater than, or equal to another.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a solid line (for <= or >=) or a dashed line (for < or >). Then shade the region that satisfies the inequality.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). In contrast, a relation can have multiple outputs for a single input.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning they have no points in common.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means they intersect at a right angle.