Answer:
y = x + 5
Step-by-step explanation:
The slope of the given line x + 2y = 11 is found as follows: Solve x + 2y = 11 for 2y first, and then for y. The slope is then the coefficient of the x term:
2y = 11 -x => y = -x + 11. The slope is thus m = -1.
The slope of any line perpendicular to y = -x + 11 is the negative reciprocal of -1, which is -(-1), or +1.
Thus, the desired line has slope 1 and passes through (-1, 4):
y = mx + b becomes
4 = 1(-1) + b, or b = 5.
Thus, the desired equation is y = x + 5.
