Graphing Linear Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

What is the y-axis in a graph?

Back

The y-axis is the vertical axis in a graph, where the values of the dependent variable are plotted.

Front

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

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.

Front

How do you graph the equation y = 2/3x - 3?

Back

To graph this equation, start at the y-intercept (0, -3) and use the slope (2/3) to find another point by rising 2 units and running 3 units to the right.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean if a line has a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward slant from left to right.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.