Question

What is an equation that passes through the points (3,8) and (1,0)

Answer 1

Answer:y - 4x + 4 = 0

Step-by-step explanation: Formula for equation of a line passing through two coordinates is

y - y₁                 y₂ - y₁

______  =       ______

x - x₁                  x₂ - x₁

Therefore,            y₂ -y₁                                                                                                  

        y - y₁      =      ____      ×    ( x - x₁ )

                             x₂ - x₁

where x₁ =3, y₁ =8, x₂ = 1 and y₂ 0

Now substitute for the value

y - 8 = 0 - 8

         ______    x     ( x - 3 )

           1 - 3

Therefore y - 8 = -8/-2 × (x - 3 )

y - 8 = -8/-2 × (x - 3)

y -8 = 4 × (x - 3 )

y - 8 = 4( x - 3 )

y - 8 = 4x - 12, when the brackets are open,

So y = 4x - 12 + 8

    y = 4x - 4

Therefore the equation of the line is

y - 4x + 4 = 0

         

Answer 2

Answer:

y=4x-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-8)/(1-3)

m=-8/-2

m=4

y-y1=m(x-x1)

y-8=4(x-3)

y=4x-12+8

y=4x-4