Review: 3C-Graph & Identify Key Features of Linear Functions

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the y-intercept of a linear function from its graph?

Back

The y-intercept is the point where the graph crosses the y-axis, which occurs when x = 0.

Front

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for the slope (m) is given by: m = (y2 - y1) / (x2 - x1).

Front

If a linear function has a slope of -3, what does this indicate about the graph?

Back

A slope of -3 indicates that for every 1 unit increase in x, the value of y decreases by 3 units, resulting in a downward slant.

Front

What is the zero of a linear function?

Back

The zero of a linear function is the x-value where the function's output (y) is zero, also known as the x-intercept.

Front

How can you determine the y-intercept from the equation of a linear function in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What does the term 'rate' refer to in the context of a linear function?

Back

In a linear function, the 'rate' typically refers to the slope, which indicates how much y changes for a unit change in x.

Front

How do you find the x-intercept of a linear function given its equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the significance of the points (x1, y1) and (x2, y2) in determining the slope?

Back

These points are used to calculate the slope of the line, which represents the rate of change between the two points.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.