Identifying and Interpreting Slope and y-intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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) where b is the y-coordinate.

Front

What does the y-intercept represent in a real-world context?

Back

In a real-world context, the y-intercept often represents the initial value or starting point of a situation.

Tags

CCSS.HSF.LE.B.5

Front

If a line has a slope of 4/1, what does this mean?

Back

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

Tags

CCSS.HSF.LE.B.5

Front

If a line has a slope of -5/7, what does this mean?

Back

This means that for every 7 units increase in x, the y-value decreases by 5 units.

Tags

CCSS.HSF.LE.B.5

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you identify the slope from a graph?

Back

You can identify the slope by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then dividing rise by run.

Tags

CCSS.8.EE.B.5