Trend LInes and Equations

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatter plot, showing the general direction of the data points.

Tags

CCSS.HSF-LE.A.1B

Front

How do you find the slope of a trend line?

Back

The slope (m) of a trend line is calculated by taking two points (x1, y1) and (x2, y2) on the line and using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope-intercept form of a linear equation?

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

If m = -1 and b = 8, what is the equation of the line?

Back

The equation of the line is y = -1x + 8.

Front

What does a positive slope indicate about a trend?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a trend?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

How can you determine if there is a correlation in a scatter plot?

Back

You can determine correlation by observing the pattern of the points; a clear upward or downward trend indicates correlation, while a random scatter indicates no correlation.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula to solve for b in the equation y = mx + b?

Back

To solve for b, rearrange the equation to b = y - mx.

Tags

CCSS.HSA.REI.B.3

Front

If you have the points (0,9) and a slope of -3/4, how do you find b?

Back

Substituting into the equation: 9 = -3/4(0) + b, gives b = 9.