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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

How do you find the slope between 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 slope of a line that is parallel to another line with a slope of 3/4?

Back

The slope of a line that is parallel to another line with a slope of 3/4 is also 3/4.

Front

What is the slope of a line that is perpendicular to another line with a slope of 2?

Back

The slope of a line that is perpendicular to another line with a slope of 2 is -1/2 (the negative reciprocal).

Front

Convert the equation y = 3x + 5 to standard form.

Back

The standard form of the equation is 3x - y = -5.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

If Bob saves $40 per month, how much will he have saved after x months?

Back

Bob will have saved 40x dollars after x months.

Front

What is the equation of a line in slope-intercept form?

Back

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