Question

Which of the following equations represents the general form of a straight line?

5
x
+
3
y
+
2
=
0

5
x
2
+
3
y
+
3
=
0

y
=
3
x
+
2

x
/
2
+
y
/
3
=
1​

Answer 1

5x+3y+2=0 (A)

as

straight line equation is ax+by+c=0

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following equations represents the general form of a straight line

• 5x + 3y + 2 = 0

• 5x² + 3y + 3 = 0

• y = 3x + 2

• $\displaystyle \sf{ \frac{x}{2} + \frac{y}{3} = 1 }$

CONCEPT TO BE IMPLEMENTED

The general equation of any line is

ax + by + c = 0

EVALUATION

CHECKING FOR OPTION : 1

The given equation is 5x + 3y + 2 = 0

Which is of the form ax + by + c = 0

So this option is not correct

CHECKING FOR OPTION : 2

The given equation is 5x² + 3y + 3 = 0

Which is equation of a parabola

So this option is not correct

CHECKING FOR OPTION : 3

The given equation is y = 3x + 2

Which is equation of the slope intercept form

So this option is not correct

CHECKING FOR OPTION : 4

The given equation of the line is

$\displaystyle \sf{ \frac{x}{2} + \frac{y}{3} = 1 }$

Which of the intercept form

So this option is not correct

FINAL ANSWER

Hence the correct option is 5x + 3y + 2 = 0

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