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.