Slope & Slope Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

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

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

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

Back

In the equation y=mx+b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is 2, calculated as (7-3)/(4-2).

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

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

Back

The slope is calculated using the formula: (y2 - y1) / (x2 - x1).

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 slope of a line is positive, what does this indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.