To solve for x in the equation y - y1 = m(x - x1), we need to isolate x on one side of the equation.
Starting with the given equation:
y - y1 = m(x - x1)
Rearranging the equation:
y - y1 = mx - mx1
Next, we can bring the mx1 term to the left side by subtracting it from both sides:
y - y1 - mx1 = mx
Further simplifying:
mx = y - y1 - mx1
Now, we can divide both sides of the equation by m:
x = (y - y1 - mx1) / m
Therefore, x is equal to (y - y1 - mx1) divided by m.