Slope intercept form

Front

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

Back

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

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

What is the y-intercept in the slope-intercept form?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation y = mx + b.

Front

How do you determine if a slope is positive or negative?

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of -2, what does this tell you about its direction?

Back

A slope of -2 indicates that the line falls steeply from left to right.

Front

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

Back

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