8-6.4 2023-2024 Graphing using Intercepts

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is 0.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the value of x is 0.

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

Set y = 0 and solve for x: 3x + 8(0) = 24, so x = 8. The x-intercept is (8, 0).

Front

How do you find the y-intercept of the equation 3x + 8y = 24?

Back

Set x = 0 and solve for y: 3(0) + 8y = 24, so y = 3. The y-intercept is (0, 3).

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

Set y = 0: 4x - 10(0) = 20, so x = 5. The x-intercept is (5, 0).

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

Set x = 0: 4(0) - 10y = 20, so y = -2. The y-intercept is (0, -2).

Front

What is the x-intercept of the equation 3x + 4y = 24?

Back

Set y = 0: 3x + 4(0) = 24, so x = 8. The x-intercept is (8, 0).

Front

What is the y-intercept of the equation 3x + 4y = 24?

Back

Set x = 0: 3(0) + 4y = 24, so y = 6. The y-intercept is (0, 6).

Front

What does it mean to graph using intercepts?

Back

Graphing using intercepts involves plotting the x-intercept and y-intercept on a coordinate plane and drawing a line through these points.

Front

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

Back

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