Question

y= -2x +9 is an equation that represents a line parallel to the line 8x + 4y = 28 is the statement true or false? Be sure to explain your answer.

Answer 1

True

Explanation:

y = -2x + 9 is already in slope-intercept form, so we can leave it be. 8x + 4y = 28, however, is not, so we have to convert it to find the answer.

To do this we have to separate the variable 4y from the rest.

We get 4y = -8x + 28.

But, y must equal zero, so to achieve this, we divide the entire equation by 4.

Then we get y = -2x + 7

Since the slopes are the same (-2x = -2x) the lines are parallel.