Answer:
[tex]\[y=3x+5\][/tex]
Step-by-step explanation:
Equation of the line which passes through two given points (x1,y1) and (x2,y2) is given by:
[tex]\[\frac{y-y1}{y2-y1}=\frac{x-x1}{x2-x1}\][/tex]
(x1,y1) = (2,11)
(x2,y2) = (4,17)
Substituting the values in the equation of the line:
[tex]\[\frac{y-11}{17-11}=\frac{x-2}{4-2}\][/tex]
=> [tex]\[\frac{y-11}{6}=\frac{x-2}{2}\][/tex]
=> [tex]\[y-11=3x-6\][/tex]
=> [tex]\[y=3x+5\][/tex]
