A line with a slope of 2 passes through the point (10,5). What is its equation in point-slope form?

Question

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answer 1

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.