Standard Form/Intercepts

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

What does the x-intercept represent on a graph?

Back

The point where the graph crosses the x-axis (y=0).

Front

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

Back

Set y = 0 and solve for x: 3x = 24, so x = 8. The x-intercept is (8, 0).

Front

What does the y-intercept represent on a graph?

Back

The point where the graph crosses the y-axis (x=0).

Front

How do you find the y-intercept of the equation 3x + y = 5?

Back

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

Front

What is the y-intercept of the equation y = 2x - 3?

Back

The y-intercept is -3 (the point (0, -3)).

Front

Which ordered pair could represent a y-intercept on a graph?

Back

(0, 4) is a y-intercept because x = 0.

Front

What is the significance of the coefficients A and B in the standard form Ax + By = C?

Back

A and B represent the slopes of the line in relation to the x and y axes.

Front

How can you convert the equation y = mx + b to standard form?

Back

Rearrange to Ax + By = C format.

Front

What is the x-intercept of the equation 2x + 5y = 10?

Back

Set y = 0: 2x = 10, so x = 5. The x-intercept is (5, 0).