00:01
In this problem, we're being asked to determine which equation is going to describe a line that passes through the point (-5 ,6), and is parallel to the line y equals 6x plus 4.
00:10
Well, first off, let's talk about parallel lines.
00:12
Parallel lines are lines that are never going to intersect.
00:15
And the reason why they don't intersect is because the rate that they increase and decrease is equal to each other.
00:21
Well, what represents the rate that a line increases or decreases? well, that's the slope.
00:25
So that tells us that parallel lines have the same slope.
00:27
Now, the line that they give us is in slope -intercept form.
00:30
Remember, that's y equals mx plus b, where m represents the slope and b represents our y -intercept.
00:37
So, if parallel lines have the same slope, the slope of the given line is 6, which means the slope of our line will also be 6.
00:45
So now we know the slope of our line, we just need to find the y -intercept...