What is the equation in standard form of the line which passes through (4, - 2) and has a slope of - 3?

3x+y-10=0

Step-by-step explanation:

y-y1=m (x-x1)

In the question we are told that

m = - 3

y1 = - 2

x1=4

With this information, we can make a substitution.

y--2=-3 (x-4)

Simplify and expand brackets

y+2=-3x+12

Rearrange in standard form

3x+y-10=0