X and Y Intercepts

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the x-intercept of the equation 4x - 10y = 20?

Back

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

Front

How do you find the y-intercept of the equation 4x - 10y = 20?

Back

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

Front

What are the coordinates of the y-intercept?

Back

The coordinates of the y-intercept are always in the form (0, y).

Front

What are the coordinates of the x-intercept?

Back

The coordinates of the x-intercept are always in the form (x, 0).

Front

Identify the x-intercept of the graph represented by the equation y = 2x - 6.

Back

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

Front

Identify the y-intercept of the graph represented by the equation y = 2x - 6.

Back

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

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts help to quickly identify key points on the graph, making it easier to sketch the line.

Front

How can you determine the x-intercepts from a graph?

Back

Look for points where the graph crosses the x-axis; these points have a y-coordinate of 0.