In rectangular form, we have the coordinates 
X=number of months
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x
460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100
answer is 7 months
That's answer exactly is -5
The graph of linear function p(x)=-5x has Slope: −5 and y-intercept: (0,0)
Steps for graphing an equation using the slope and y-intercept:
Find the y-intercept = b of the equation y = mx + b.
Plot the y-intercept. The point will be (0, b).
Find the slope=m of the equation y = mx + b.
Make a single step, using the rise and run from the slope.
Connect those two points with your line.
Therefore , the graph is attached below of p(x)=-5x which has Slope: −5 and y-intercept: (0,0).
Learn more about graphing linear function here
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