Slope and Y-Intercept (Graphs, Equations & Verbal Descriptions)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend from left to right.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation, representing the rate of change of y with respect to x.

Front

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

Back

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

Front

Identify the slope of the line in the equation y = 3x + 4.

Back

The slope is 3.

Front

Identify the y-intercept of the line in the equation y = -2x + 5.

Back

The y-intercept is 5.

Front

What type of slope does the equation y = 0 represent?

Back

The slope is zero, indicating a horizontal line.

Front

What type of slope does the equation x = 4 represent?

Back

The slope is undefined, indicating a vertical line.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.