Is it Linear?

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for an equation to be linear?

Back

An equation is linear if it can be expressed in the form of a straight line, meaning it has no variables raised to a power greater than one and no products of variables.

Front

How can you determine if an equation is linear?

Back

To determine if an equation is linear, check if it can be rearranged into the form Ax + By = C, or if it can be graphed as a straight line.

Front

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

Back

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

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is a non-linear equation?

Back

A non-linear equation is an equation that does not form a straight line when graphed, such as quadratic equations, exponential equations, or any equation with variables raised to a power greater than one.

Front

What is an example of a linear equation?

Back

An example of a linear equation is 2x + 3y = 6.

Front

What is an example of a non-linear equation?

Back

An example of a non-linear equation is y = x^2 + 3.

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, representing the value of y when x is zero.