Question

Find the equation of the line passing through the points (2, 1) and (5, 10).​

Answer 1

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

$\tt \dfrac{10-1}{5-2}=3$

• Equation

$\tt y-1=3(x-2)\\\\y-1=3x-6\\\\y=3x-5$