3.5 Graphing Linear Equations in Slope-Intercept Form

Front

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

Back

The slope is the coefficient of x in the equation y = mx + b, where m represents the slope.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

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

Back

The slope is -3.

Front

What does a slope of zero indicate about a linear graph?

Back

A slope of zero indicates a horizontal line, meaning y does not change as x changes.

Front

What does an undefined slope indicate about a linear graph?

Back

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

Front

If Chris collects shoes and the equation is y = 3x + 122, what does the number 3 represent?

Back

The number 3 represents the rate at which Chris collects additional pairs of Jordans each month.