Write a slope-intercept equation for a line passing through the point left parenthesis 5 comma negative 4 right parenthesis(5,−4) that is parallel to the line 5 x plus 6 y equals 75x+6y=7. then write a second equation for a line passing through the point left parenthesis 5 comma negative 4 right parenthesis(5,−4) that is perpendicular to the line 5 x plus 6 y equals 75x+6y=7.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Explain how you divide powers with like bases.discuss why the bases have to be the same.how are these rules similar to the rules for multiplying powers with like bases.

Erinn wrote the equation –5x + 4y = 32 to represent her hourly wage (y) and how this wage has changed during each year that she worked at a company (x). what is the rate of change in erinn's hourly wage per year?