Question

Help please i don’t know how to do it

Answer 1

x + 3y = 15

Explanation:

Line is passing through the points
`(3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)`

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

`y-y_1 =m(x-x_1)`

Plugging the values of
`x_1,\: y_1\: and \: m` in the above equation we find:

`y-4 =-(1)/(3)(x-3)`

`\implies 3y-12 =-x+3`

`\implies x+ 3y =12+3`

`\implies \huge {\orange{\boxed{x+ 3y = 15}}}`

This is the required equation of line in the form
`\red{\bold{ax + by = c}}`