Standard Form

Front

What is Standard Form in linear equations?

Back

Standard Form is a way of writing linear equations in the form Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Front

What is the slope of a line?

Back

The slope (m) of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form y = mx + b.

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = (4/3)x - 4.

Front

What is the slope-intercept form of a line?

Back

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

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

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, with A, B, and C as integers.

Front

Identify the slope and y-intercept from the equation y = 2x + 3.

Back

Slope (m) = 2, y-intercept (b) = 3.

Front

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

Back

The x-intercept is (8, 0).

Front

Which of the following is in standard form: y = 3x - 5 or 3x + 16 = 5y?

Back

3x + 16 = 5y is in standard form.