Respuesta :

The equation : y=3x-5

Further explanation

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates

General formula

y-y1 = m(x-x1)

or

y = mx + c

Where

m = straight-line gradient which is the slope of the line

x1, y1 = the Cartesian coordinate that is crossed by the line

c = constant

The formula for a gradient (m) between 2 points in a line

m = Δy / Δx

  • Gradient

[tex]\tt \dfrac{10-1}{5-2}=3[/tex]

  • Equation

[tex]\tt y-1=3(x-2)\\\\y-1=3x-6\\\\y=3x-5[/tex]