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

The point-slope form: $y-y_0=m(x-x_0)$

m = -1; (2; 4) $\to x_0=2;\ y_0=4$

subtitute

y - 2 = -1(x - 4)