Question

Audrey is trying to find the equation of a line parallel to y = 2 over 3x −5 in slope-intercept form that passes through the point (−6, −1). Which of the following equations will she use?

Answer 1

parallel lines
the answer is y=2/3(x)+3

Answer 2

y-(-1)=2/3 (x-(-6)

Explanation:

So, we want to write an equation that is parallel to the original, and passes thru (-6,-1)... all that needs to be done is plug it in. Using the unsimplified slope intercept form, y-y1=m(x-x1), you will plug in the X and the Y. It will look like

y-(-1)=m (x-(-6), then since we want it to be parallel, you take the same slope from the other equation, because parallel lines never intersect. So then replace the "m" with "2/3". It should look like y-(-1)=2/3 (x-(-6).