Question

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​

Answer 1

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.