Answer:
the given statement is true.
Step-by-step explanation:
The given lines are
2x - 3y = 1 and 2x + 3y = 2
Write these equations in slope intercept form of a line y = mx +b
For the first equation
[tex]2x-3y=1\\\\3y=2x-1\\\\y=\frac{2}{3}x-\frac{1}{3}[/tex]
For the first equation
[tex]2x+3y=2\\\\3y=-2x+2\\\\y=-\frac{2}{3}x+\frac{2}{3}[/tex]
The slope and y-intercepts of first line are 2/3 and -1/3 respectively.
The slope and y-intercepts of second line are -2/3 and 2/3 respectively.
Since, the slopes and y-intercepts of these lines are different.
Hence, these lines are intersecting.
Therefore, the given statement is true.
