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

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

Back

The slope (m) is calculated using the formula 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 does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x does not change and the slope cannot be calculated.

Front

What does a slope of zero indicate?

Back

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

Front

If a line has a slope of -1, what does this mean?

Back

A slope of -1 means that for every unit increase in x, y decreases by 1 unit.

Front

What is the y-intercept in the equation y = 3x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).