Finding X and Y Intercepts

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept from the equation 2y = 8x + 12?

Back

Set x = 0. The equation becomes 2y = 12, so y = 6. The y-intercept is (0, 6).

Front

What is the x-intercept of a linear equation?

Back

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

Front

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

Back

Set y = 0. The equation becomes 3x = 24, so x = 8. The x-intercept is (8, 0).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the value of y when x is zero, showing where the line starts on the y-axis.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept indicates the value of x when y is zero, showing where the line starts on the x-axis.

Front

Find the y-intercept of the equation 3x + y = 5.

Back

Set x = 0. The equation becomes y = 5. The y-intercept is (0, 5).

Front

Find the x-intercept of the equation 3x + y = 5.

Back

Set y = 0. The equation becomes 3x = 5, so x = 5/3. The x-intercept is (5/3, 0).

Front

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

Back

The y-intercept can be found by setting x = 0, resulting in By = C, so y = C/B.

Front

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

Back

The x-intercept can be found by setting y = 0, resulting in Ax = C, so x = C/A.