Question

There is a line that includes the point (5,

–
5) and has a slope of
1
9
. 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.

Answer 1

The equation of the line in point-slope form that passes through the point (5, -5) with a slope of 1/9 is y + 5 = 1/9x - 5/9.

Step-by-step explanation:

The student is seeking the equation of a line in point-slope form that passes through the point (5, -5) and has a slope of 1/9. To find this equation, we use the point-slope form formula: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the given information, we get:

y - (-5) = 1/9(x - 5)

This simplifies to:

y + 5 = 1/9x - 5/9

Therefore, the equation of the line is:

y + 5 = 1/9x - 5/9