Decide whether the pair of lines is parallel, perpendicular or neither:
2x+3y=3 2x+3y=10
To determine if the pair of lines is parallel, perpendicular, or neither, we need to compare their slopes.
The two lines can be rearranged into slope-intercept form (y = mx + b), where the coefficient of x (m) represents the slope of the line.
For the first equation, 2x + 3y = 3, we can rewrite it as:
3y = -2x + 3
y = (-2/3)x + 1
From this equation, we can see that the slope of the first line is -2/3.
For the second equation, 2x + 3y = 10, we can rewrite it as:
3y = -2x + 10
y = (-2/3)x + 10/3
From this equation, we can see that the slope of the second line is also -2/3.
Since both slopes are equal (-2/3), the lines are parallel.