Interpreting 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 the y-value with respect to the x-value. It indicates how steep the line is.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x is 0.

Front

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

Back

To find the x-intercept, set y to 0 in the equation and solve for x.

Front

What does the x-intercept represent?

Back

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

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

How can you determine if two lines are parallel?

Back

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

Front

What is the difference between a positive slope and a negative slope?

Back

A positive slope means the line rises as it moves from left to right, while a negative slope means the line falls as it moves from left to right.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a, where a is a constant.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and is represented by an equation of the form y = b, where b is a constant.