Question

Write the equation of the line that passes through (–1, 4) with a slope of –1 in standard form.

–x + 4y = –1

x – 4y = –1

x + y = 3

x – y = –3

Answer 1

slope/gradient = -1 and given the point (-1,4)
we can use the find an equation formula to find the actual equation
y-y1 = m (x-x1)
y - 4 = -1 (x--1)
y-4 = -1 (x+1)
y-4 = -x -1
y = -x -1 + 4
y = -x + 3

so the third one because it can be rearranged to be y = -x +3