Write an equation in point-slop form for the give line.
(two points are (-6,4) and (3,2))
A. y-3=2/9(x-2)
B. y-3=-2/9(x-2)
C. y-2=2/9(x-3)
D. y-2=-2/9(x-3)
To write the equation in point-slope form, we need to determine the slope and choose one of the given points.
Given points: (-6,4) and (3,2)
The slope, m, can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Using the two points:
m = (2 - 4) / (3 - (-6))
m = -2 / 9
Now that we have the slope, we can choose one of the given points, let's use (3, 2) in this case.
Using the point-slope form of the equation (y - y1) = m(x - x1), where (x1, y1) is the given point and m is the slope:
(y - 2) = (-2/9)(x - 3)
Therefore, the equation in point-slope form for the given line is:
Option C) y - 2 = 2/9(x - 3)