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)
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)
1 answer