Question

Write an equation in point-slope form for the given line.

Two points on the graph are (-6,5) and (5,4)
A. Y-4=1/11(x-5)
B. Y-5=1/11(x-4)
C. Y-4=-1/11(x-5)
D. Y-5=-1/11(x-4)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The point-slope form of an equation is given by:

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of a point on the line and m is the slope.

Using the given points (-6,5) and (5,4), we can calculate the slope:

slope, m = (4 - 5) / (5 - (-6)) = -1 / 11

Choosing the first point (-6,5) as (x₁, y₁), we have:

y - 5 = (-1/11)(x - (-6))

Simplifying:

y - 5 = (-1/11)(x + 6)

Multiplying both sides by 11 to eliminate the fraction:

11(y - 5) = -1(x + 6)

11y - 55 = -x - 6

Rearranging the terms to get the final equation in standard form:

x + 11y = 49

Thus, the correct option is:

D. Y-5=-1/11(x-4)