Standard form equations

Front

What is the standard form of a linear equation?

Back

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

Set y = 0 in the equation and solve for x.

Front

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

Back

Set x = 0 in the equation and solve for y.

Front

What is the slope-intercept form of a line?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

A and B determine the slope of the line when rearranged into slope-intercept form.

Front

How can you convert a standard form equation to slope-intercept form?

Back

Rearrange the equation to solve for y in terms of x.

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0) when y = 0.

Front

What is the y-intercept of the equation 5x - 3y = 15?

Back

(0, -5) when x = 0.

Front

Which of the following is in standard form: 2y - 3x = 6 or y = 2x + 1?

Back

2y - 3x = 6 is in standard form.