Linear Equations Review

Front

What is the definition of 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 (positive or negative).

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases. The line rises from left to right.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases. The line falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where y remains constant regardless of x.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where x remains constant, and y can take any value.

Front

How do you identify the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, the slope is represented by m.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line represented by the equation y = 2/3x - 3?

Back

The slope of the line is 2/3.