Question

Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.

Answer 1

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

$m=-3;\ (2;-5)\to x_0=2;\ y_0=-5$

subtitute

$y-(-5)=-3(x-2)\\\\y+5=-3x+6\ \ \ \ \ |subtract\ 5\ from\ both\ sides\\\\\boxed{y=-3x+1}$