Hey there!!
Things to remember while writing a standard form:
- The equation shall always start with 'x'
- The term 'x' shall not be negative or a fraction.
First, let's get this into slope-intercept form:
... y = mx + b
... 5 = (4/3)(-2) + b
... 5 = (-8/3) + b
... 5 + (8/3) = b
... b = 23/3
Slope-intercept=
... y = (4x/3) + (23/3)
Subtracting 4x/3 on both sides:
... (-4x/3) + y = 23/3
Multiplying by 3 on both sides:
... -4x + 3y = 23
Final equation :
4x - 3y = -23
Hope my answer helps!