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

1 Answer

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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 (10-1)/(5-2)=3

  • Equation


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

User Brady Emerson
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