solve each formula for the specified variable,

y-y^1 = m(x-x^1) for x

Technicality:

Your notation of y^1 is flawed in your equation.
We use the ^ sign to show exponents, so y^1 would simply be y, and your equation would become
0 = m(0)

I will use y1 instead

y - y1 = m(x - x1)
(y-y1)/m = x-x1
x = (y-y1)/m + x1

Solve for w. S -2 LW divided by 2W plus 2L equals H

semi english

To solve the formula y - y^1 = m(x - x^1) for x, we need to isolate the variable x on one side of the equation. Here's how to do it step by step:

Step 1: Distribute the 'm' to the terms inside the parentheses:
y - y^1 = mx - mx^1

Step 2: Rearrange the equation by moving the mx term to the right side:
y - mx = y^1 - mx^1

Step 3: Now, we want to isolate the x variable. To do this, we'll move the y term to the right side:
-y = y^1 - mx^1 - mx

Step 4: Combine like terms on the right side:
-y = y^1 - (mx + mx^1)

Step 5: To isolate the variable x, we'll divide both sides of the equation by 'm':
-y/m = (y^1 - mx^1)/(m)

Step 6: Simplify the equation:
-x = (y^1 - mx^1)/(m)

Step 7: To get x alone, we can multiply both sides of the equation by -1:
x = -((y^1 - mx^1)/(m))

Therefore, the formula y - y^1 = m(x - x^1) when solved for x is x = -((y^1 - mx^1)/(m)).