Linear equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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 of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What does it mean for a relationship to be additive?

Back

An additive relationship means that a constant amount is added or subtracted as one quantity changes. It can be represented by addition or subtraction.

Front

What does it mean for a relationship to be multiplicative?

Back

A multiplicative relationship means that one quantity is multiplied by a constant factor as another quantity changes. It can be represented by multiplication or division.

Front

What is the origin on a graph?

Back

The origin is the point (0,0) on a graph where the x-axis and y-axis intersect.

Front

How do you identify independent and dependent variables in a graph?

Back

The independent variable is usually plotted on the x-axis and is the variable that is changed or controlled. The dependent variable is plotted on the y-axis and is the variable that is measured or affected.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a graph, written in the form (x, y).

Front

What does the equation y = x + 6 represent?

Back

This equation represents a linear relationship where for every increase of 1 in x, y increases by 1, starting from 6.

Front

What is the difference between a function and a non-function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value). A non-function has at least one input that corresponds to multiple outputs.