GRAPHING USING INTERCEPTS

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.

Front

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

Back

To find the x-intercept, set y = 0 and solve for x. The x-intercept is (8, 0).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

How do you find the y-intercept of the equation 4x - 10y = 20?

Back

To find the y-intercept, set x = 0 and solve for y. The y-intercept is (0, -2).

Front

What are the x and y intercepts of the equation 4x - 10y = 20?

Back

The x-intercept is (5, 0) and the y-intercept is (0, -2).

Front

How do you determine the x-intercept from the equation x + 2y = 4?

Back

Set y = 0 and solve for x. The x-intercept is (4, 0).

Front

How do you determine the y-intercept from the equation x + 2y = 4?

Back

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

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts help to quickly identify points on the graph and understand the behavior of the line.

Front

What is the formula to find the x-intercept of a linear equation in standard form Ax + By = C?

Back

Set B = 0 and solve for x: x = C/A.

Front

What is the formula to find the y-intercept of a linear equation in standard form Ax + By = C?

Back

Set A = 0 and solve for y: y = C/B.