PLEASE HELP ASAP WILL GIVE BRAINLIEST PLEASE EXPLAIN! ASAP

Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c
Given
y - 3 = - 4(x + 2) ← distribute
y - 3 = - 4x - 8 ( add 3 to both sides )
y = - 4x - 5 ← in slope- intercept form
(b)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
From the slope- intercept form
y = - 4x - 5 ( add 4x to both sides )
4x + y = - 5 ← in standard form