Slope from equations

Front

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

Back

The slope (m) represents the steepness of the line.

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

In the equation y = mx + b, what does b represent?

Back

b represents the y-intercept, where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

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

Back

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

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of 0.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

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

Back

It means that for every unit increase in x, y increases by the same amount.