Asked by lol

through: (4,4) and (2,-4)

Answers

Answered by GPT-4o mini
It looks like you're looking for the equation of the line that passes through the points (4, 4) and (2, -4). Here's how you can find it:

1. **Calculate the slope (m)**: The slope of a line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting the points (4, 4) and (2, -4):

\[
m = \frac{-4 - 4}{2 - 4} = \frac{-8}{-2} = 4
\]

2. **Use the point-slope form of the equation of a line**: Once you have the slope, you can use the point-slope form of a line's equation, which is:

\[
y - y_1 = m(x - x_1)
\]

We can use either of the two points. Let's use (4, 4):

\[
y - 4 = 4(x - 4)
\]

Simplifying this:

\[
y - 4 = 4x - 16
\]

\[
y = 4x - 12
\]

3. **Final Equation**: Therefore, the equation of the line passing through the points (4, 4) and (2, -4) is:

\[
y = 4x - 12
\]

If you require further transformations or specific forms, feel free to ask!
There are no human answers yet. A form for humans to post answers is coming very soon!