X and Y Intercepts

Front

What is the y-intercept?

Back

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

Front

What is the 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 from 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 from a linear equation?

Back

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

Front

What is the significance of the intercepts in a graph?

Back

Intercepts help identify the location of a line on the graph and are useful for graphing linear equations.

Front

Given the equation 2x + 3y = 6, what is the y-intercept?

Back

(0, 2) - Set x = 0: 3y = 6, y = 2.

Front

Given the equation 4x - y = 8, what is the x-intercept?

Back

(2, 0) - Set y = 0: 4x = 8, x = 2.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine the x-intercept from a set of ordered pairs?

Back

The x-intercept is the ordered pair where y = 0.

Front

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

Back

If a line has no x-intercept, it is parallel to the x-axis and does not cross it.