Graphing Standard Form

Front

What is Standard Form in algebra?

Back

Standard Form is a way of writing linear equations in the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Identify the standard form of the equation: y = 2x + 3.

Back

The standard form is -2x + y = 3.

Front

What are the x- and y-intercepts of the equation 2x + y = 6?

Back

The x-intercept is (3, 0) and the y-intercept is (0, 6).

Front

How do you find the x-intercept of an equation?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

How do you find the y-intercept of an equation?

Back

To find the y-intercept, set x = 0 and solve for y.

Front

What does the equation x = 2 represent on a graph?

Back

The equation x = 2 represents a vertical line that crosses the x-axis at (2, 0).

Front

Convert the equation 3x + 2y = 12 to slope-intercept form.

Back

The slope-intercept form is y = -3/2x + 6.

Front

What is the slope of the line represented by the equation 4x - y = 8?

Back

The slope is 4.

Front

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

Back

A and B determine the slope of the line; if A = 0, the line is horizontal, and if B = 0, the line is vertical.

Front

What does it mean if an equation has no solution?

Back

It means the lines represented by the equations are parallel and will never intersect.