Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

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

Back

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

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

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

Front

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

Back

The slope is 2.

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 a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

Find the slope of the line that goes through the points (−11,−5) and (1,−12).

Back

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.