Question

Does the point (2 , 3) lie on the line y = 4x -5 ?

Bonus = Does the point (-1 , 17) lie on the line y= 18 + 2x ?

Answer 1

Explanation:

y=4x-5

put y=3 and x=2

3=4(2)-5

3=8-5

3=3 so the point lies on the line

y=18+2x

put y=17 and x=-1

17=18+2(-1)

17=18-2

17=16

so the point does not lie on the line

Answer 2

Question 1:

Point = (x,y) = (2,3)

So, x = 2, y = 3

Let's put this in the equation to check whether it lies on the line or not

=> 3 = 4(2)-5

=> 3 = 8-5

=> 3 = 3

Since LHS = RHS so The point lies on the line

Question 2:

Point = (x,y) = (-1,17)

So, x = -1, y = 17

Let's put this in the equation to check whether it lies on the line or not

=> 17 = 18+2(-1)

=> 17 = 18-2

=> 17 ≠ 16

Since LHS ≠ RHS, So this point doesn't lie on the line.