8.4 C

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The slope (m) can be found using the formula: 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, meaning the line rises 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, meaning the line falls from left to right.

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines where the change in x is zero, making the slope calculation (rise/run) impossible.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

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

Back

The y-intercept represents the value of y when x is zero, providing a starting point for the line on a graph.

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, the y-value increases by 4 units.

Front

If a line has a slope of -2/1, what does this indicate?

Back

A slope of -2/1 indicates that for every 1 unit increase in x, the y-value decreases by 2 units.