Graph Standard Form Practice

Front

What is the standard form of a linear equation?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What are intercepts in the context of a graph?

Back

Intercepts are points where the graph intersects the axes; the x-intercept is where y = 0, and the y-intercept is where x = 0.

Front

What is the x-intercept of the line represented by the equation 4x - 10y = 20?

Back

The x-intercept is (5, 0).

Front

What is the y-intercept of the line represented by the equation 4x + 2y = -12?

Back

The y-intercept is (0, -6).

Front

How can you determine both x and y intercepts from a linear equation?

Back

To determine both intercepts, set y = 0 to find the x-intercept and set x = 0 to find the y-intercept.

Front

What does it mean for a line to be in standard form?

Back

A line in standard form is expressed as Ax + By = C, which allows for easy identification of intercepts.

Front

What is the significance of the coefficients A and B in the standard form of a linear equation?

Back

The coefficients A and B determine the slope and direction of the line.

Front

How do you convert a linear equation from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate terms.