# Answer to Question #33499 in Algebra for Daryl Ligutan

Question #33499

Graph the Given Function and its inverse. f(x)

1. y= -2x + 10

1. y= -2x + 10

Expert's answer

y=-2x+10 it's a straight lineTo graph it we need two distinct points of it. We can pick arbitrary values of x, say x=0 and x=2:

y(0)=10

y(2)=-4=10=6

So we have two points (0,10) and (2,6). Connecting them we get desired graph.

To find inverse we should solve given equation for x:

y=-2x+10

2x=10-y

x=5-y/2

It's also a straight line. We can find its graph similarly.

To get more info about straight lines watch our video:

y(0)=10

y(2)=-4=10=6

So we have two points (0,10) and (2,6). Connecting them we get desired graph.

To find inverse we should solve given equation for x:

y=-2x+10

2x=10-y

x=5-y/2

It's also a straight line. We can find its graph similarly.

To get more info about straight lines watch our video:

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