Linear Equations Review

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 slope of a line that rises from left to right?

Back

The slope of a line that rises from left to right is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope of a line that falls from left to right is negative.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear equation?

Back

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

Front

What does it mean if a graph is positive?

Back

If a graph is positive, it means that as the x-values increase, the y-values also increase.

Front

What does it mean if a graph is negative?

Back

If a graph is negative, it means that as the x-values increase, the y-values decrease.

Front

How can you identify the slope from a graph?

Back

You can identify the slope from a graph by observing the steepness of the line and whether it rises or falls as you move from left to right.