Intercepts from a Graph

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. At this point, the value of x is 0.

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of b in the equation, represented as the point (0, b).

Front

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

Back

The y-intercept is (0, 2).

Front

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

Back

To find the x-intercept, set y to 0: 0 = 2x - 4, so x = 2. The x-intercept is (2, 0).

Front

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

Back

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

Front

What is the y-intercept of the equation y = -3x + 1?

Back

The y-intercept is (0, 1).

Front

How do you determine the x-intercept from a graph?

Back

Look for the point where the graph crosses the x-axis; the coordinates of this point will be (x, 0).

Front

What is the significance of intercepts in a graph?

Back

Intercepts help to understand the behavior of the graph and can indicate solutions to equations.

Front

If a graph has an x-intercept of -2 and a y-intercept of 3, what are the coordinates of these intercepts?

Back

The x-intercept is (-2, 0) and the y-intercept is (0, 3).