(MCA) 4.3 (Flashcard) Graphing and Writing linear equations.

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, y).

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and is calculated as the change in y over the change in x (rise/run).

Front

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

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

To convert, rearrange the equation y = mx + b to the form Ax + By = C.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, use the slope to find another point, and draw a line through these points.