A.3C: Key Features of Graphs - Slope, Intercepts, and Zeros

Front

What is the definition of a y-intercept?

Back

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

Front

How do you find the y-intercept from a linear equation?

Back

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

Front

What does the zero of a function represent?

Back

The zero of a function is the value of x where the function's output (y) is zero, indicating where the graph intersects the x-axis.

Front

How can you identify the zero(s) of a linear function from its graph?

Back

The zero(s) can be identified as the point(s) where the graph crosses the x-axis.

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

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.

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.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero.

Front

How can you determine the type of slope from a graph?

Back

By observing the direction of the line: upward (positive), downward (negative), flat (zero), or vertical (undefined).