Finding 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. It occurs when y = 0.

Front

How do you find the x-intercept of the equation 3x + 4y = 24?

Back

Set y = 0 and solve for x: 3x + 4(0) = 24, which gives x = 8.

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. It occurs when x = 0.

Front

How do you find the y-intercept of the equation 4x + 2y = -12?

Back

Set x = 0 and solve for y: 4(0) + 2y = -12, which gives y = -6.

Front

What is the y-intercept of the equation 3x + 4y = 24?

Back

Set x = 0 and solve for y: 3(0) + 4y = 24, which gives y = 6.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find both x and y intercepts of the equation 4x - 5y = 40?

Back

For x-intercept, set y = 0: 4x = 40, x = 10. For y-intercept, set x = 0: -5y = 40, y = -8.

Front

What does it mean for a graph to have a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend in the graph.

Front

What does it mean for a graph to have a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend in the graph.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.