Standard Form to Slope-Intercept Form

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

What is slope-intercept form?

Back

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

Front

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

Back

To convert, solve for y in the equation Ax + By = C to get y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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 slope-intercept form.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation 4x + y = -10?

Back

The slope is -4.

Front

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

Back

The y-intercept is (0, -10).

Front

How do you find the slope from the equation 3x - 6y = 12?

Back

First, rearrange to slope-intercept form: y = (1/2)x - 2, so the slope is 1/2.

Front

What does the term 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.