121a - 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 3x + 8y = 24?

Back

Set y = 0 and solve for x: 3x + 8(0) = 24, which gives x = 8. So, the x-intercept is (8, 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 3x + y = 5?

Back

Set x = 0 and solve for y: 3(0) + y = 5, which gives y = 5. So, the y-intercept is (0, 5).

Front

What does the point (2, 0) represent on a graph?

Back

It represents the x-intercept of the graph, where the line crosses the x-axis.

Front

How do you find the x-intercept of the equation x - 4y = 8?

Back

Set y = 0 and solve for x: x - 4(0) = 8, which gives x = 8. So, the x-intercept is (8, 0).

Front

What does the point (0, 3) represent on a graph?

Back

It represents the y-intercept of the graph, where the line crosses the y-axis.

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.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves (upward or downward) as x increases.

Front

How can you determine if a point is an x-intercept from a graph?

Back

A point is an x-intercept if it has a y-coordinate of 0.