Standard Form Linear Functions

Front

What is the formula for 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 y-intercept of a linear equation in standard form?

Back

Set x = 0 and solve for y.

Front

What is the y-intercept of the equation 2x - 5y = 35?

Back

(0, -7)

Front

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

Back

Set y = 0 and solve for x.

Front

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

Back

(8, 0)

Front

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

Back

Rearrange the equation to solve for y in terms of x (y = mx + b).

Front

What is the slope of the line represented by the equation -6x - 2y = 9?

Back

-3, which can be found by rearranging to slope-intercept form.

Front

What does the slope of a line represent in a linear equation?

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 Ax + By = C?

Back

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

Front

How do you graph a linear equation in standard form?

Back

Find the x-intercept and y-intercept, then plot these points and draw a line through them.