Hi Chandler,
It looks like you accidentally posted the same question twice, so I'll post the working again below:
Recall that parallel lines have the same slope, which means that the line you're looking for will have a slope of -1.
Now, slope-intercept form is:
y=mx + b
y=y-coordinate
m=slope
x=x-coordinate
b=y-intercept
Now, you were given the point (2,4). These are your x and y coordinates. Your slope is -1, so:
y=4
m= -1
x=2
b=b
We need to find and identify b, and we can do this since we have all other variables. Substituting:
4= -2 + b
Add 2 on both sides:
b=6
So, the equation of your parallel line is:
y= -x + 6
I hope this helps.
