Step 1: We need to determine b by using slope-intercept form, the given slope, and the given line.
[tex]-3 = 2(-4) + b\\\\-3 = -8 + b\\\\5 = b[/tex]
Step 2: Now we create the slope-intercept form for the line.
[tex]y = 2x + 5[/tex]
Step 3: We can now change the above equation to standard form.
[tex]y = 2x + 5\\\\-2x + y = 5\\\\-2x + y - 5 = 0[/tex]
The equation of the line in STANDARD FORM is: D. -2x + y - 5 = 0.