Answer:
[tex] x-2y+14=0[/tex]
Step-by-step explanation:
[tex] Slope \:( m) =\frac{1}{2} [/tex]
[tex] (x_1 \:y_1) =(10, \:12)[/tex]
Equation of line in point slope form is given as:
[tex] y-y_1 =m(x-x_1) [/tex]
Plugging the values of m and [tex] (x_1 \:y_1) [/tex], we find:
[tex] y-12=\frac{1}{2} (x-10) [/tex]
[tex] 2y-24=x-10[/tex]
[tex] 0=x-10-2y+24[/tex]
[tex] x-2y+14=0[/tex]
This is the required equation of line.