Question

Given a line passes through the points (4, -1) and (8, 3), what is the slope?

Answer 1

y = x - 5

Explanation:

slope = (y-y)/(x-x) = (3 - - 1)/(8 - 4) = 4/4 = 1

Slope (m) = 1, point (4,-1)

y - y = m(x-x)

y - - 1 = 1(x - 4

y + 1 = x - 4

y = x -4 - 1

y = x - 5

Answer 2

slope = 1

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (4, - 1 ) and (x₂, y₂ ) = (8, 3 )

substitute these values into the formula for m

m =
`(3-(-1))/(8-4)` =
`(3+1)/(4)` =
`(4)/(4)` = 1