Question

12. A scatter plot of data showing the percentage of total Internet users who
visited an online store on a given day in December includes the points
(2008, 2.0) and (2010, 4.5). Write the slope-intercept form of an equation
for the line of fit containing those points.

Answer 1

Using the slope - intercept relation, the equation of the line is y = 1.25x - 2508

The slope - intercept form of the equation can be obtained thus :

• General form ; y = bx + c

Slope, b = (y2 - y1) ÷ (x2 - x1)

Slope, b = (4.5 - 2.0) ÷ (2010 - 2008)

Slope = 2.5 / 2 = 1.25

Using any of the pair of points we can obtain the intercept thus :

2 = 1.25(2008) + c

2 = 2510 + c

2 - 2510 + c

c = - 2508.

Hence, the equation is y = 1.25x - 2508

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Answer 2

Answer:

Using the slope - intercept relation, the equation of the line is y = 1.25x - 2508

The slope - intercept form of the equation can be obtained thus :

General form ; y = bx + c

Slope, b = (y2 - y1) ÷ (x2 - x1)

Slope, b = (4.5 - 2.0) ÷ (2010 - 2008)

Slope = 2.5 / 2 = 1.25

Using any of the pair of points we can obtain the intercept thus :

2 = 1.25(2008) + c

2 = 2510 + c

2 - 2510 + c

c = - 2508.

Hence, the equation is y = 1.25x - 2508

Step-by-step explanation: