Day 67 - 8.PFA.3: Slope and y-intercept from a graph

Front

What is slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant, and the slope cannot be calculated.

Front

How do you find the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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

What is the y-intercept of the line represented by the equation y = 2x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (change in y) and run (change in x), and calculate the slope using the formula.