Intercepts

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

Back

Set y = 0 and solve for x: 2x + 0 = 6, so x = 3. The x-intercept is (3, 0).

Front

How do you find the y-intercept of the equation 2x + y = 6?

Back

Set x = 0 and solve for y: 2(0) + y = 6, so y = 6. The y-intercept is (0, 6).

Front

What are the x- and y-intercepts of the equation 3x + y = 5?

Back

x-intercept: (5, 0), y-intercept: (0, 5).

Front

What is the significance of intercepts in a graph?

Back

Intercepts help identify where the graph crosses the axes, providing key points for sketching the graph.

Front

How do you determine the intercepts from a graph?

Back

Look for points where the graph crosses the x-axis (x-intercept) and y-axis (y-intercept).

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

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

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

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

Front

Which ordered pair represents a y-intercept?

Back

(0, 4) is a y-intercept because x = 0.