Positive Slope

Front

What is the definition of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Front

What does a vertical line represent in terms of slope?

Back

A vertical line has an undefined slope because the change in x is zero.

Front

What does a horizontal line represent in terms of slope?

Back

A horizontal line has a slope of zero because the change in y is zero.

Front

How do you identify a positive slope on a graph?

Back

A positive slope is identified when the line rises from left to right.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

If a line has a slope of 4, what does this indicate about the relationship between x and y?

Back

For every 1 unit increase in x, y increases by 4 units.

Front

What is the slope of a line that goes down from left to right?

Back

A line that goes down from left to right has a negative slope.

Front

How can you determine the slope from two points on a line?

Back

Use the formula: Slope (m) = (y2 - y1) / (x2 - x1) using the coordinates of the two points.