y - y1 = m(x-x1)
solve for x1
y - y1 = mx - mx1
mx1 = mx - y + y1
x1 = (m - y + y1)/m
Sure, let me put on my mathematician clown nose and solve that equation for you!
To solve for x1, we'll need to rearrange the equation a bit. Let's start by isolating x1 on one side:
y - y1 = m(x - x1)
First, distribute the m to both terms in the parentheses:
y - y1 = mx - mx1
Next, let's move all the terms with x1 to the left side:
y - mx + y1 = -mx1
Now, we can divide both sides by -m to isolate x1:
x1 = (y - mx + y1) / -m
And voila! We've solved for x1. I hope that equation didn't clown around with your brain too much!
To solve for x1 in the equation y - y1 = m(x - x1), we follow these steps:
Step 1: Distribute the m term on the right side of the equation:
y - y1 = mx - mx1
Step 2: Rearrange the equation by isolating the x1 term on one side:
y - mx = y1 - mx1
Step 3: Move the mx1 term to the left side by adding mx1 to both sides of the equation:
mx1 + y - mx = y1 - mx1 + mx1
Simplifying the right side, we get:
mx1 + y - mx = y1
Step 4: Combine like terms:
mx1 - mx + y = y1
Step 5: Rearrange the terms to have x1 isolated:
mx1 - mx = y1 - y
Step 6: Factor out x1:
x1(m - 1) = y1 - y
Step 7: Divide both sides by (m - 1) to solve for x1:
x1 = (y1 - y) / (m - 1)
Therefore, the solution for x1 in the equation y - y1 = m(x - x1) is x1 = (y1 - y) / (m - 1).
To solve for x1 in the equation y - y1 = m(x - x1), we need to isolate x1 on one side of the equation. Here's how you can do that:
1. Distribute the m on the right side of the equation:
y - y1 = mx - mx1
2. Rearrange the equation to have x1 terms on one side and other terms on the other side:
y - mx = y1 - mx1
3. Move the x1 term to the left side by adding mx1 to both sides:
y - mx + mx1 = y1
4. Combine like terms on the left side:
y + mx1 - mx = y1
5. Rearrange the equation to isolate x1:
mx1 = y1 - y + mx
6. Divide both sides of the equation by m to solve for x1:
x1 = (y1 - y + mx) / m
Therefore, the solution for x1 is (y1 - y + mx) / m.