(64, 135), (74, 166)y = 3.875x – 120.75   (62, 131), (70, 152)y = 2.625x – 31.75Which set of ordered pairs and equation for a best-fit line represents data from the table?

sciencesolve | Certified Educator

You should check if the points lie on the given lines, hence, you need to substitute the values of coordinates for x and y, in equations of lines.

You need to check if the point `(64,135)`  lies on the line `y = 3.875x – 120.75`  such that:

`135 = 3.875*64 - 120.75 => 135!=127.25`

Notice that the coordinates of the point `(64,135)`  do not verify the equation of the line `y = 3.875x – 120.75,`  hence, the point does not lie on this line.

You need to check if the point `(74,166)`  lies on the line `y = 3.875x – 120.75 ` such that:

`166= 3.875*74 – 120.75 => 166 = 166`

Notice that the coordinates of the point `(74,166)`  verify the equation of the line `y = 3.875x – 120.75` , hence, the point lies on this line.

You need to check if the point `(62,131) ` lies on the line `y = 2.625x – 31.75`  such that:

`131 = 2.625*62 - 31.75 => 131 = 131`

Notice that the coordinates of the point `(62,131)`   verify the equation of the line `y = 2.625x – 31.75 ` , hence, the point lies on this line.

You need to check if the point `(70,152)`  lies on the line `y = 2.625x – 31.75`  such that:

`152 = 70*2.625 - 31.75 => 152 = 152`

Notice that the coordinates of the point `(70,152)`  verify the equation of the line `y = 2.625x – 31.75`  , hence, the point lies on this line.