Graphing y=mx+b / Interpreting Slope

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

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

Back

The y-intercept (b) is the value of y when x = 0.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit horizontally.

Front

What is the slope of the line represented by the equation y = 5x - 4?

Back

The slope is 5.

Front

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

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

The slope is -2.

Front

In the equation y = 0.5x + 1, what is the slope?

Back

The slope is 0.5.

Front

What does a slope of 0 mean for a line?

Back

A slope of 0 means the line is horizontal.

Front

What is the equation of a line with a slope of 4 and a y-intercept of -2?

Back

The equation is y = 4x - 2.