Finding X and Y intercepts

Front

What is the definition of a y-intercept?

Back

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

Front

What is the definition of an x-intercept?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

What is the y-intercept of the equation 3x + y = 5?

Back

(0, 5) - Set x = 0: 3(0) + y = 5, so y = 5.

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

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

Front

True or False: The y-intercept occurs where y is equal to zero.

Back

False - The y-intercept occurs where x is equal to zero.

Front

What ordered pair represents a y-intercept?

Back

(0, y) - Any point where x = 0.

Front

What ordered pair represents an x-intercept?

Back

(x, 0) - Any point where y = 0.

Front

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

Back

(0, 5) - Set x = 0: 5(0) + y = 5, so y = 5.