X and Y Intercepts

Front

What is the x-intercept of a linear equation?

Back

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

Front

How do you find the x-intercept of the equation 3x + 2y = 12?

Back

Set y = 0 and solve for x: 3x + 2(0) = 12, which gives x = 4. So, the x-intercept is (4, 0).

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept of the equation 5x + 4y = 20?

Back

Set x = 0 and solve for y: 5(0) + 4y = 20, which gives y = 5. So, the y-intercept is (0, 5).

Front

Find the x-intercept of the equation x - 4y = 8.

Back

Set y = 0: x - 4(0) = 8, which gives x = 8. So, the x-intercept is (8, 0).

Front

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

Back

The x-intercept indicates the value of x when the output (y) is zero, showing where the function crosses the x-axis.

Front

Find the x-intercept of the equation 3x + 8y = 24.

Back

Set y = 0: 3x + 8(0) = 24, which gives x = 8. So, the x-intercept is (8, 0).

Front

How do you determine the x-intercept from the equation 5x + 4y = 20?

Back

Set y = 0: 5x + 4(0) = 20, which gives x = 4. So, the x-intercept is (4, 0).

Front

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

Back

To find the x-intercept, set y = 0 and solve for x: x = C/A.

Front

Find the y-intercept of the equation 3x + 2y = 12.

Back

Set x = 0: 3(0) + 2y = 12, which gives y = 6. So, the y-intercept is (0, 6).