Standard form - intercepts

Front

What are the x- and y-intercepts on a graph?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

To find the x-intercept, set y=0 and solve for x. The x-intercept is (8, 0).

Front

What is the formula to find the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) using two points (x1, y1) and (x2, y2) on the line.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x=0, represented as the point (0, b) in the equation y = mx + b.

Front

How do you determine the y-intercept from the equation 4x + 2y = -12?

Back

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

Front

What does the point (5, 0) represent on a graph?

Back

The point (5, 0) represents the x-intercept, where the graph crosses the x-axis.

Front

What does the point (0, 5) represent on a graph?

Back

The point (0, 5) represents the y-intercept, where the graph crosses the y-axis.

Front

How can you identify intercepts from a graph?

Back

Intercepts can be identified by locating the points where the graph crosses the x-axis and y-axis.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

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.