Slope & Intercepts

Front

What is the definition of slope?

Back

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

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant 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

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

Back

'm' represents the slope of the line.

Front

In the equation of a line y = mx + b, what does 'b' represent?

Back

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

Front

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

Back

Slope (m) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Find the slope of the line represented by the equation y = -3x + 5.

Back

The slope is -3.