Question

Find the equation of the line that passes through the points (4,1) and (-4, -5)

A. y = 4x + 1
B. y = -4x - 5
C. y = 3/4 x -2
D. y = -3/4 x + 2

Answer 1

First, we must find the slope of the line using slope formula*.

`m = (-5 - 1)/(-4 - 4) = (-6)/(-8) = (3)/(4)`

Second, we now find the y-intercept, or b, using slope-intercept form, the slope we found, and one of the given points.

`1 = (3)/(4)(4) + b\\\\1 = 3 + b\\\\-2 = b`

Lastly, we can now create the equation of the line.

• 
  `m = (3)/(4)\\`

• 
  `b = -2`

The equation of the line that goes through the given points is C.
`y = (3)/(4)x - 2`