True or False?

Thank you for your question Lindsey

If two lines are parallel then they have the same slope.

So the first thing we need to do is put each function into slope intercept form and compare the slopes.

5x + 2y = 6

Subtract 5x to both sides

2y = -5x + 6

divide 2 to each side

y = -

^{5}/_{2}x_{ }+ 3 Slope = -

^{5}/_{2}3x - ay = 4

Substitute -12/5 for a

3x - (-

^{12}/_{5})y = 4Subtract 3x to both sides

- (-

^{12}/_{5})y = -3x + 4multiply -1 and -

^{12}/_{5}^{12}/

_{5}y = -3x + 4

Multiply through by

^{5}/_{12}y = -

^{5}/_{4}x +^{5}/_{3}Slope = -

^{5}/_{4}-

^{5}/_{2}does not equal -^{5}/_{4}therefore the line are not parallel