Graphing Lines in Slope Intercept Form

Front

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

Back

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

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 does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, meaning y remains constant as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant and y can take any value.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is -5.

Front

What is the slope of the line represented by the equation y = 1/3x - 2?

Back

The slope is 1/3.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the term 'slope' refer to in graphing lines?

Back

Slope refers to the steepness or incline of a line, indicating how much y changes for a change in x.