Write an equation in point slope form that passes through (1,4) and(4,9)

sbrigynt7b

sbrigynt7b

Answered question

2022-11-06

Write an equation in point slope form that passes through (1,4) and(4,9)

Answer & Explanation

tektonikafrs

tektonikafrs

Beginner2022-11-07Added 15 answers

the equation of a line in point-slope form is.
x y - y 1 = m ( x - x 1 )
where m is the slope and ( x 1 , y 1 ) a point on the line
to calculate m use the gradient formula
x m = y 2 - y 1 x 2 - x 1
let ( x 1 , y 1 ) = ( 1 , 4 ) and ( x 2 , y 2 ) = ( 4 , 9 )
m = 9 - 4 4 - 1 = 5 3
use either of the 2 given points as point on line
using (1,4) then
y - 4 = 5 3 ( x - 1 ) in point-slope form

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