Find the missing coeffectient in the equation of the line.

-4x+by=10
that passes through (2,3)

Could someone explain please..
Thanks.

-4(3) + b(2) = 10

-12 + b(2) = 10
b2 = 22
b = 11

Thankss.

Actually sorry.

It's

-4(2) + b(3) = 10
-8 + b(3) = 10
b(3) = 18
b = 6

I mixed X with Y

To find the missing coefficient (b) in the equation of the line -4x + by = 10, we can use the given point (2,3) that the line passes through.

First, substitute the x and y values of the given point into the equation, and solve for b:

-4(2) + b(3) = 10
-8 + 3b = 10

Next, isolate the term with the variable by adding 8 to both sides:

-8 + 8 + 3b = 10 + 8
3b = 18

Finally, divide both sides of the equation by 3 to solve for b:

3b/3 = 18/3
b = 6

Therefore, the missing coefficient (b) in the equation of the line -4x + by = 10 is 6.