y=mx+b Review

Front

What does the equation y=mx+b represent in a linear function?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the definition of slope in a linear equation?

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

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 does the y-intercept represent in the equation y=mx+b?

Back

The y-intercept (b) represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

In the equation y=0.5x+10, what does the slope of 0.5 represent?

Back

The slope of 0.5 represents the per-unit increase in y for each unit increase in x.

Front

What is the significance of a slope of -3 in a linear equation?

Back

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units.

Front

How can you identify the slope of a line from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run between them.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0, meaning there is no change in y as x changes.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope, as the change in x is 0, leading to division by zero.

Front

How can you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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