The linear equation in slope-intercept form will be:
y = -x + 3
How to write the linear equation?
We want to find the equation of a line that passes through (4, -1) and that is parallel to y = -x + 4
Remember that two lines are parallel if the slopes are equal but the y-intercepts are different. So here we can write our line as:
y = -x + b
We want this line to pass through (4, -1), replacing that we will get:
-1 = -4 + b
-1 + 4 = b
3 = b
Then the equation is:
y = -x + 3