Find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)

JetssheetaDumcb

JetssheetaDumcb

Answered question

2022-10-17

Find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)

Answer & Explanation

Carly Yang

Carly Yang

Beginner2022-10-18Added 19 answers

Given two points ( x 1 , y 1 ) and ( x 2 , y 2 )
the slope is given by the formula
m = Δ y Δ x = y 1 - y 2 x 1 - x 2

Given the points (15,16) and (13,10)
the slope is m = 16 - 10 15 - 13 = 6 2 = 3

Given a slope m and a point ( x 1 , y 1 )
the point-slope form of the linear equation is
y - y 1 = m ( x - x 1 )

For the given values this becomes
y−16=3(x−15)

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