Exploring Angles and Lines

If two lines are parallel, what can be said about their slopes?

What is the relationship between the angles formed when a transversal intersects two parallel lines?

What is the distance between the parallel lines $$y = 2x + 3$$ and $$y = 2x - 4$$ ?

Find the slope of a line perpendicular to the line with equation $$y = -\frac{1}{3}x + 2$$ .

What is the distance between the point $$(3, 4)$$ and the line $$y = 2x + 1$$ ?

If two lines have slopes $$m_1$$ and $$m_2$$ , and they are perpendicular, what is the relationship between $$m_1$$ and $$m_2$$ ?

Which of the following is true for alternate interior angles when two parallel lines are cut by a transversal?

What is the slope of the line parallel to the line $$3x - 4y = 12$$ ?

Find the distance between the lines $$y = \frac{1}{2}x + 5$$ and $$y = \frac{1}{2}x - 3$$ .

If a line has a slope of $$5$$ , what is the slope of a line perpendicular to it?