x and y intercepts

Front

What is the definition of the y-intercept?

Back

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

Front

How do you find the y-intercept from an equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), the y-intercept is the value of b.

Front

What is the definition of 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 x-intercept from an equation?

Back

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

Front

What is the significance of the x and y intercepts in a graph?

Back

The x and y intercepts help to identify the position of the line on the graph and can be used to sketch the line.

Front

Given the equation 4x - 10y = 20, how do you find the x-intercept?

Back

Set y = 0: 4x = 20, so x = 5. The x-intercept is (5, 0).

Front

Given the equation 4x - 10y = 20, how do you find the y-intercept?

Back

Set x = 0: -10y = 20, so y = -2. The y-intercept is (0, -2).

Front

What is the relationship between the slope of a line and its intercepts?

Back

The slope indicates the steepness of the line, while the intercepts indicate where the line crosses the axes.

Front

How can you determine the intercepts from a set of ordered pairs?

Back

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

Front

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

Back

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