To solve this problem, we first write the equation of the line in slope-intercept form, and then convert it to standard form.
Let's start with the slope-intercept form, y = mx + c, where m is the slope and c is the y-intercept.
Given in the problem, we have m = 8 ÷ 4 = 2 and c = -3. So, the equation of the line in slope-intercept form is:
y = 2x - 3
The standard form of a line is written as Ax + By = C. To convert our equation to this form, we can rearrange it to get 'y' alone on one side. This gives us:
-2x + y = -3
So, the equation of the line in standard form is -2x + y = -3.