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 x-intercept of a linear equation in standard form?

Back

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

Front

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

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

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

Back

Solve for y to isolate it on one side of the equation.

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; the slope is -A/B.

Front

What is the x-intercept of the equation 2x + 4y = 14?

Back

(7, 0) - found by setting y = 0 and solving for x.

Front

What is the y-intercept of the equation 2x + 4y = 14?

Back

(0, 3.5) - found by setting x = 0 and solving for y.

Front

How do you write the standard form equation of a line given two points?

Back

Use the two points to find the slope and then use the point-slope form to convert to standard form.

Front

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

Back

-3 - found by rearranging the equation to slope-intercept form.