a) The linear equation to find the price p of a share of XYZ Corporation stock w weeks from now is p = 3w + b
b) Price of a share of stock five weeks ago is $ 65
<em><u>Solution:</u></em>
The equation of line (in slope intercept form) is given as:
y = mx + b
Where "m" is the slope and "b" is the y - intercept
<u><em>The equation of a line for price p of a share of XYZ Corporation stock w weeks from now is:</em></u>
p = mw + b
where y = the price of the stock, w = weeks, m is the slope and b is the y-intercept and "p" is the price of share
Given that price of a share of stock in XYZ Corporation was $74 two weeks ago. Seven weeks ago, the price was $59 a share
So we have two points (-2, 74) and (-7, 59)
<em><u>The slope "m" can be found as:</u></em>



Thus the equation becomes:
p = 3w + b
To find b, plug in either known point:
Substitute (w, p) = (-2, 74)
74 = 3(-2) + b
74 = -6 + b
b = 80
Thus equation becomes:
p = 3w + 80
<em><u>b. Estimate the price of a share of stock five weeks ago</u></em>
Here w = -5
p = 3(-5) + 80
p = -15 + 80
p = 65
Thus price of a share of stock five weeks ago is $ 65