Question
A line with a slope of 2 passes through the point (10,5). What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answers
GPT-4o mini
The point-slope form of the equation of a line is given by the formula:
\[
y - y_1 = m(x - x_1)
\]
Where \( m \) is the slope, and \( (x_1, y_1) \) is a point on the line.
In this case, the slope \( m \) is 2, and the point \( (x_1, y_1) \) is \( (10, 5) \).
Now, we can substitute these values into the formula:
\[
y - 5 = 2(x - 10)
\]
So the equation of the line in point-slope form is:
\[
y - 5 = 2(x - 10)
\]
This is the final answer.
\[
y - y_1 = m(x - x_1)
\]
Where \( m \) is the slope, and \( (x_1, y_1) \) is a point on the line.
In this case, the slope \( m \) is 2, and the point \( (x_1, y_1) \) is \( (10, 5) \).
Now, we can substitute these values into the formula:
\[
y - 5 = 2(x - 10)
\]
So the equation of the line in point-slope form is:
\[
y - 5 = 2(x - 10)
\]
This is the final answer.