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Write an equation of the line that passes through a pair of points: (2, 3), (4, -2)

a. y = -5/2 x -1/8
b. y = -5/2x -8
c. y = -5/2x +8
d. y = 5/2x +8​

1 Answer

1 vote

Answer:

C. y = -5/2x +8

Explanation:

To solve first find the slope using the slope formula which is m=
(y_(2)-y_(1) )/(x_(2)-x_(1) ). To find the slope simply plug in the points,
(-2-3)/(4-2) which equals -5/2. Next, put the equation into slope-point form, which is
y-y_(1) = m(x-x_(1)). I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+8.

User Jef
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