Question

For the linear equation Y = 2X – 3, which of the following points will not be on the line?​

a) ​4, 5

​b) 2, 1

c) 0, 3​

​d) 3, 3

Answer 1

c) 0, 3

Explanation:

What we need to do in this equation is to replace "x" and see if it matches with its pair "y", remember that the numbers ordered like (4,5), (2,1) etc... are coordinates (x,y) and so we evaluate if the pair matches.

for the coordinates (4,5)

Y=2X-3 Replace the "x" for "4"

Y=2(4)-3

Y=8-3

Y=5

As you can see this pair is correct because for the x=4 we have y=5

For the coordinates (2,1)

Y=2x-3 Replace the "x" for "2"

Y=2(2)-3

Y=1

this pair also is correct, if X=2 then Y=1

For the coordinates (0,3)

Y=2x-3 Replace the "x" for "0"

Y=2(0)-3

Y=0-3

Y=-3

In this case for X=0 we have Y=-3, the coordinate is (0,-3) so it is different than the one they gave us, for this reason, the coordinates (0,3) are the coordinates that are not in the line.

you can try with the point d, the x=3 must give you y=3, I did it at home and it match.