y=mx+b Review

Front

What does the equation y=mx+b represent?

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 slope in the equation y=2x+3?

Back

The slope is 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

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.

Front

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

Back

The slope (0.5) represents the per-mile fee for the moving truck.

Front

If a line has an undefined slope, what does it look like?

Back

It is a vertical line.

Front

What does the slope represent in a distance vs. time graph?

Back

The slope represents the speed or rate of distance traveled over time.

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.