What is an equation of the line parallel to Y=-x+1 and through (4,4) show ur work

Answer 1

The line given is in the form y = -x + 1.
To find the slope of this line, we compare it with the standard form y = mx + b, where m is the slope.
From y = -x + 1 we see that the slope is -1.

Since we want a line parallel to this one, the slope of the new line will also be -1.
The equation of the new line can be written in the form y = -x + c, where c is the y-intercept that we need to find.

Now, we use the coordinates of the point (4,4) to substitute them into the equation of the new line.
4 = -4 + c
c = 8

Therefore, the equation of the line parallel to Y = -x + 1 and through (4,4) is y = -x + 8.