Graphing Using Intercepts

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

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

How do you find the x-intercept of the equation 2x - y = 6?

Back

Set y = 0 and solve for x: 2x = 6, so x = 3. The x-intercept is (3, 0).

Front

How do you find the y-intercept of the equation 2x - y = 6?

Back

Set x = 0 and solve for y: -y = 6, so y = -6. The y-intercept is (0, -6).

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

Convert the equation x + y = 3 to slope-intercept form.

Back

y = -x + 3.

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

Identify the standard form of the equation: -7x + 2y = 9.

Back

This equation is already in standard form.

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

The slope (m) is 1/2.

Front

How do you graph a line using intercepts?

Back

Find the x-intercept and y-intercept, plot these points, and draw a line through them.