Slope and y-intercept

Front

What is the definition of slope?

Back

Slope is the measure of the steepness of a line, calculated as rise over run.

Front

What does the 'm' represent in the equation y=mx+b?

Back

The 'm' represents the slope of the line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you calculate the slope of a line?

Back

Slope = (change in y) / (change in x) or rise/run.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is y = mx + b.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the y-intercept of a line is -3, what does this mean?

Back

It means the line crosses the y-axis at the point (0, -3).

Front

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

Back

Use the formula: Slope = (y2 - y1) / (x2 - x1).