Writing Equations of Trend Lines

Front

What is slope-intercept form?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation y = mx + b?

Back

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

Front

What is the first step in writing an equation of a trend line?

Back

The first step is to find the slope between two points on the trend line.

Front

If the slope is negative, what does that indicate about the trend?

Back

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

Front

What ordered pairs would you use to find the slope for the trend line?

Back

You can use any two points on the trend line, such as (x1, y1) and (x2, y2).

Front

What is the formula to find the y-intercept (b) after finding the slope (m)?

Back

You can substitute one of the points (x, y) into the equation y = mx + b to solve for b.

Front

What does it mean if two lines are parallel in terms of slope?

Back

If two lines are parallel, they have the same slope (m) but different y-intercepts (b).

Front

What is the significance of the point (0, b) in a linear equation?

Back

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