SOLUTION: Hi! I was doing my homework and i ran into a challenging problem. its a table of domain and ranges, and it asks what the equation is that represents the table. the table says x: 9,

Question 806810: Hi! I was doing my homework and i ran into a challenging problem. its a table of domain and ranges, and it asks what the equation is that represents the table. the table says x: 9, 7, 5, 3 and y: -10, -6, -2, 2
im not asking for the answer but more of an explanation so i can do it in the future. thank you so much!!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The first thing I did was to take the 4 sets of coordinates and plot the points on a graph. It certainly looks like they are collinear, so I used the slope formula to check:

where

and

are the coordinates of the given points.

If the points are collinear, no matter which pair you plug into the slope formula you will get the same answer.

Then I used the point-slope form of an equation of a line to come up with an equation for this particular linear function.

where

are the coordinates of the given point and

is the calculated slope.

Just plug in the numbers, and manipulate the equation until it looks like one of your given answers.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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