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) 3x + 5y = 7.5

(ii) $2x-\frac{y}{5}+6=0$

(iii) 3y - 2x = 6

(iv) 4x = 5y

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

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

Answer 1

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) $3x+5y=7.53x+5y-7.5=0ax+by+c=0a=3,b=5,c=-7.5$

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

(iii) $3y-2x=6-2x+3y-6=0ax+by+c=0a=-2,b=3,c=-6$

(iv) $4x=5y4x-5y=0ax+by+c=0a=4,b=-5,c=0$

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

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