Question

Express each of the following equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case.
(i) $2x-\frac{y}{5}+6=0$

(ii)$\frac{x}{5}-\frac{y}{6}=1$

(iii) $\sqrt{2}x+\sqrt{3}y=5$

Answer 1

(i) $2x-\frac{y}{5}+6=0ax+by+c=0a=2,b=-\frac{1}{5},c=6$

(ii)$\frac{x}{5}-\frac{y}{6}=1\frac{x}{5}-\frac{y}{6}-1=0ax+by+c=0a=\frac{1}{5},b=-\frac{1}{6},c=-1$

(iii) $\sqrt{2}x+\sqrt{3}y=5\sqrt{2}x+\sqrt{3}y-5=0ax+by+c=0a=\sqrt{2},b=\sqrt{3},c=-5$