Question

The graphs of the equations $2x-3y=5$ and $4x-6y=7$

• A. form an acute angle
• B. intersect in two points
• C. are parallel lines
• D. are coincident lines
• E. are perpendicular lines

Answer 1

The correct option is C are parallel lines

$2x-3y=5$ $4x-6y=7$

Equation of straight line,

$y=mx+c$ $\to$ intercept

$\downarrow$

slope

$2x-3y=5$ $4x-6y=7$

$\Rightarrow y=\left(\frac{2}{3}\right)x-\frac{5}{3}$ $y=\left(\frac{4}{6}\right)x-\frac{7}{6}$

$m=\frac{2}{3}$ $m=\frac{4}{6}=\frac{2}{3}$

$\because$ Slopes are same

$\because$ The lines are parallel.