Interpreting Slope and Y-intercept

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the relationship.

Tags

CCSS.HSF.LE.B.5

Front

What is the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x, showing how much y increases or decreases as x increases.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3, what does this mean?

Back

For every 1 unit increase in x, y increases by 3 units.

Tags

CCSS.HSF.LE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

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

Back

'm' represents the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

'b' represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can 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 it mean if the slope is zero?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept often represents the initial value or starting point of a situation.

Tags

CCSS.HSF-IF.C.7A

Front

If a car's value is represented by v = -2000t + 12000, what does the slope represent?

Back

The slope of -2000 indicates the car's value decreases by $2000 each year.

Tags

CCSS.HSF.LE.B.5