Question

Find the slope of the line passing through the given points 1,8 and -3,0

Answer 1

y = 2x + 6

When x=0, y = 6

When y=0, x = -3

Explanation:

Slope (m) =

ΔY

ΔX

=

2

1

= 2

θ =

arctan( ΔY ) + 180°

ΔX

= 243.43494882292°

ΔX = -3 – 1 = -4

ΔY = 0 – 8 = -8

Distance (d) = √ΔX2 + ΔY2 = √80 = 8.9442719099992

Answer 2

slope = 2

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (- 3, 0)

m =
`(0-8)/(-3-1)` =
`(-8)/(-4)` = 2