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

How do you find the x-intercept of the equation 7x + y = -14?

Back

Set y = 0 and solve for x: 7x + 0 = -14, so x = -2. The x-intercept is (-2, 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 y-intercept of the equation 6x - y = -3?

Back

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

Front

What does the point (3, -5) represent in terms of intercepts?

Back

It represents an x-intercept of 3 and a y-intercept of -5.

Front

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

Back

Look for the point where the graph intersects the x-axis.

Front

How can you determine the y-intercept from a graph?

Back

Look for the point where the graph intersects the y-axis.

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts help to quickly identify key points on the graph and understand the behavior of the line.

Front

If a line has an x-intercept of -3, what does this indicate?

Back

It indicates that the line crosses the x-axis at the point (-3, 0).

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.