Question

(4,?) is on the line 8x – 3y = -10. Find the other half of the coordinate

Answer 1

(4, ?) is on 8x - 3y = -10

The ? is the missing y coordinate.  (4, y) satisfies 8x - 3y = -10

8x - 3y = -10.      From point (4, y),  we would replace x = 4 in the equation below. y remains the unknown.

8*4 - 3y = -10

32 - 3y = -10

-3y = -10 - 32

-3y = - 42

y = -42/-3

y = 14

Answer 2

We need to plug 4 in place of x into the equation of the line and find the y-value.

8x - 3y = -10
8(4) - 3y = -10
32 - 3y = -10

Add 3y on both sides.

32 = -10 + 3y

Add 10 on both sides.

42 = 3y

Divide 3 on both sides.

y = 14

The point is (4, 14).