Answer: 9x - 12 y =32
Step-by-step explanation:
Since, the equation of a line passes through one point [tex](x_1,y_1)[/tex] and having the slope m is,
[tex]y-y_1 = m(x-x_1)[/tex]
Here, [tex]x_1 = 4[/tex], [tex]y_1 = 1/3[/tex] and m= 3/4
Therefore, equation of the line,
[tex]y-1/3 = 3/4(x-4)[/tex]
⇒ 3y -1 = 9/4 (x-4)
⇒ 12 y - 4 = 9x - 36
⇒ 9x - 12y = - 4 + 36
⇒ 9x +12y = 32
Which is required equation of the line.
