Graph the line that contains this point (-1,-3) and has a slope of 1/3
1 answer:
When trying to find the point-slope equation of a line you need to pick a point and plug it into the plain equation with your slope.
-3 = 1/3(-1) +b
Multiply your slope with your x
-3 = -1/3 +b
Move the -1/3 to the other side by doing the opposite operation, in this case being addition.
-3 +1/3 = b
-2 2/3 = b
y = 1/3x - 2 2/3
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Answer:
29. See table below
30. See attached graph
31. The slope is m= 0.10
The slope represent the cost for every additional call minute.
Step-by-step explanation:
The cost is $0.5 first minute and $0.10 for any additional minutes
If c is the total cost of a call that last t minutes then;
c= 0.10t + 0.5-----where t is the time the call lasted
29. Use the equation above to create the table as;
t {x} c{y}
1 0.6
2 0.7
3 0.8
4 0.9
5 1.0
6 1.1
The graph of this plot is as attached , where the coordinates are
{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}
The slope can be found using the formula;
m=Δy/Δx
m= 1.1 - 0.6 / 6-1
m= 0.5 / 5 = 0.10
The slope represent the cost for every additional call minute.
