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put this solution on YOUR website!First, it is necesaary to find the x- and y-values:
To find the x-values:
Let:
1989=year #0
1990=#1
1991=#2
1992-#3
1993=#4
.
The y-values are (58,000 when x=0; and 74,000 when x=4.
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to find the rate of change use the fomula for the slope of a line:
Rate of change=Slope = m=
Pick two coordinate points (4; 74,000) and(0; 58,000) and plug them into the formula:
.
m=
m=
m=$4000 as the rate of change.
What this means is that for every year, there is an additional profit of $4,000.
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To find the equation, use the slope-intercept form of a line (y-mx+b):
y=mx+b
y=any y-value on the line
m=the sope of the line
x=any corresponding x-value on the line
b=the y-interception or point (0, b)
.
y=mx+b
58,000=(4,000)(0)+b [plug-in the values and solve for the b-term]
58,000=0+b
58,000=b
.
Plug-in only the value of the slope and the b-intercept to get the equation of the line:
y=4,000x + 58,000
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