Question

Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.

x – 4 = –1(y – 2)
x – 2 = –1(y – 4)
y – 2 = –1(x – 4)
y – 4 = –1(x – 2)

Answer 1

y - y1 = m (x - x1)

where m is the slope and (x1 , y1) is the point given

We are given:

m= -1

the point is (2, 4)

Then:

y - y1 = m (x - x1)
y-4 = (-1) (x-2)
y - 4 = -x + 2
y = -x +2 +4

y = -x + 6


Hope that helps you