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 (m) represent in a linear equation?

Back

The slope (m) 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 the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

How do you determine if a slope is positive?

Back

A slope is positive if the line rises from left to right. This means that as x increases, y also increases.

Front

How do you determine if a slope is negative?

Back

A slope is negative if the line falls from left to right. This means that as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = 4x + 7?

Back

The slope of the line is 4.

Front

What is the slope of the line represented by the equation y = -1/3x + 3?

Back

The slope of the line is -1/3.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning x does not change as y changes.

Front

How can you find the equation of a line given two points?

Back

You can find the equation by calculating the slope (m) using the formula m = (y2 - y1) / (x2 - x1) and then using the point-slope form of the equation.