Question

Help please i don’t know how to do it

Answer 1

Answer:

x + 3y = 15

Step-by-step 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:

$y-4 =-\frac{1}{3}(x-3)$

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

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

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

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