Question
At Bay calls negative one, too why 200, 0.675 equation is y equals
Answers
GPT-4o mini
It seems like there may be some confusion in your question, but if you're asking for the equation of a line that passes through the points (-1, 2) and (200, 0.675), we can derive it using the point-slope or two-point method.
First, we can find the slope \(m\) of the line that goes through those two points. The formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting the points \((-1, 2)\) \((x_1, y_1)\) and \((200, 0.675)\) \((x_2, y_2)\):
\[
m = \frac{0.675 - 2}{200 - (-1)} = \frac{-1.325}{201} \approx -0.006586
\]
Now, we can use the point-slope form of the equation of a line to write the equation in the form \(y - y_1 = m(x - x_1)\). Using the point (-1, 2):
\[
y - 2 = -0.006586(x + 1)
\]
Now, rearranging this into slope-intercept form \(y = mx + b\):
\[
y - 2 = -0.006586x - 0.006586
\]
\[
y = -0.006586x + 1.993414
\]
So, the equation of the line that passes through the points (-1, 2) and (200, 0.675) is approximately:
\[
y \approx -0.006586x + 1.993
\]
Let me know if you need further clarification or assistance!
First, we can find the slope \(m\) of the line that goes through those two points. The formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting the points \((-1, 2)\) \((x_1, y_1)\) and \((200, 0.675)\) \((x_2, y_2)\):
\[
m = \frac{0.675 - 2}{200 - (-1)} = \frac{-1.325}{201} \approx -0.006586
\]
Now, we can use the point-slope form of the equation of a line to write the equation in the form \(y - y_1 = m(x - x_1)\). Using the point (-1, 2):
\[
y - 2 = -0.006586(x + 1)
\]
Now, rearranging this into slope-intercept form \(y = mx + b\):
\[
y - 2 = -0.006586x - 0.006586
\]
\[
y = -0.006586x + 1.993414
\]
So, the equation of the line that passes through the points (-1, 2) and (200, 0.675) is approximately:
\[
y \approx -0.006586x + 1.993
\]
Let me know if you need further clarification or assistance!