Question

find the slope-intercept form of the line that passes through the point (-6,4) and is parallel to the line 2x-2y=6

Answer 1

if two lines are parallel, then they have the same slope

Answer 2

yes i dont quite remember how to do this kind aof problem

Answer 3

Let's rewrite the equation for the given line in slope intercept form as it will make things easier.

2x - 2y = 6
2x - 6 = 2y
y = x - 3

so, we know from that equation that the slope of the line we are after is 1 as:

y = (1 * x) - 3

and we are given that our new line shares this slope ( is parallel to it )

New Line:
y = 1x +b

Now, we also know that the new line passes a given point (-6, 4).
so, we now can sub in those values and solve for "B"