(MCA) 4.2 (Flashcard) Graphing using x and y intercepts.

Front

What is the definition of the y-intercept?

Back

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

Front

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

Back

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

Front

What is the definition of the x-intercept?

Back

The x-intercept is the point where a graph intersects the x-axis, represented as (x, 0).

Front

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

Back

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

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the significance of a zero slope?

Back

A zero slope indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

How can you determine if a graph has an x-intercept?

Back

A graph has an x-intercept if it crosses the x-axis, which can be determined by checking if y = 0 for any x value.

Front

Back

The x-intercept is (8, 0).