Graphing Linear Equations & Slope

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a slope of -5/4 indicate about a line?

Back

A slope of -5/4 indicates that for every 4 units you move to the right (positive x-direction), the line moves down 5 units (negative y-direction).

Tags

CCSS.8.EE.B.5

Front

What does the equation y = 4 represent on a graph?

Back

The equation y = 4 represents a horizontal line where the value of y is always 4, regardless of the value of x.

Front

What are x- and y-intercepts?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where the line crosses the y-axis (x=0).

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point (0, b) on the graph.

Front

What does the equation x = -2 represent on a graph?

Back

The equation x = -2 represents a vertical line where the value of x is always -2, regardless of the value of y.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does a positive slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5