Question

find the slope of the line passing the two points A(0,4),(4,0)​

Answer 1

Answer:

= 5.6568542494924

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

-1

1

= -1

θ =

arctan( ΔY ) + 360°

ΔX

= 315° =

7

4

π

ΔX = 4 – 0 = 4

ΔY = 0 – 4 = -4

Distance (d) = √ΔX2 + ΔY2 = √32

= 5.6568542494924

Equation of the line:

y = -x + 4

When x=0, y = 4

When y=0, x = 4

Answer 2

Given :

• Coordinates of A = ( 0 , 4 )

• Coordinates of B = ( 4 , 0 )

To Find :

• Slope of the line passing through given points

Solution :

By using Slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Here

x₁ = 0 x₂ = 4

y₁ = 4 y₂ = 0

Substitute values in formula

→ m = ( 0 - 4 ) / ( 4 - 0 )

→ m = - 4 / 4

→ m = - 1