Standard form of a Linear Equation

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

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 does the slope of a line represent?

Back

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

Front

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

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate the terms involving x and y on one side.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What are the conditions for a linear equation to be in standard form?

Back

In standard form, A, B, and C must be integers, A should be non-negative, and A and B cannot both be zero.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by the equation x = a, where a is a constant.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of zero and is represented by the equation y = b, where b is a constant.

Front

How do you determine if a given equation is in standard form?

Back

An equation is in standard form if it can be expressed as Ax + By = C, with A, B, and C as integers and A non-negative.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.