Answer:
A) y = (1/6)x + 1.5
B) y = -1.5x + 4
Explanation:
See the attached worksheet.
We know the functions are linear, so lets look for an equation in the form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x is zero).
The first step is to make a table of the given points and calculate the slopes for the two lines. Slope is the Rise/Run of the line. Calculate the Rise and the Runs between the two given points for each line. As shown, the Rise/Run than gives us the slopes, m.
A) m = (1/6)
B) m = -1.5
With m now known, write the equations we have thus far:
A) y = (1/6)x + b
B) y = -1.5x + b
To find b, enter either of the two given points for each line and then solve for b. The vales are:
A) b = 1.5
B) b = 4
The full equations become:
A) y = (1/6)x + 1.5
B) y = -1.5x + 4
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The graph of these equations is not necessary to solve the problem, but it does make nice wallpaper, if you enjoy math.