X and Y 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, meaning the value of y is 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, meaning the value of x is 0.

Front

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

Back

Set y = 0 and solve for x: 4x = 20, so x = 5.

Front

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

Back

Set x = 0 and solve for y: -10y = 20, so y = -2.

Front

What is the y-intercept of the equation 4x + 2y = -12?

Back

Set x = 0: 2y = -12, so y = -6.

Front

What is the x-intercept of the equation 2x + 3y = 6?

Back

Set y = 0: 2x = 6, so x = 3.

Front

What does it mean if a line has no x-intercept?

Back

It means the line is parallel to the x-axis and never crosses it.

Front

What does it mean if a line has no y-intercept?

Back

It means the line is parallel to the y-axis and never crosses it.

Front

How can you determine the intercepts from the equation in standard form Ax + By = C?

Back

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.

Front

What is the significance of the intercepts in a graph?

Back

Intercepts help identify key points on the graph and can indicate the behavior of the line.