3.5 Graph a Line Using Intercepts

Front

What is the y-intercept of a line?

Back

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

Front

What is the x-intercept of a line?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What does the equation 3x + y = 5 represent?

Back

It represents a linear equation in two variables, which can be graphed as a straight line.

Front

What is the slope-intercept form of a line?

Back

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

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

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

Back

A line has an x-intercept if it crosses the x-axis, which occurs when y = 0.

Front

How can you determine if a line has a y-intercept?

Back

A line has a y-intercept if it crosses the y-axis, which occurs when x = 0.

Front

What is the y-intercept of the line represented by the equation 2x + 3y = 6?

Back

The y-intercept is (0, 2).