Answer:
-3x + 8y - 96 = 0
Step-by-step explanation:
Standard form is ax + by + c = 0.
Converting from standard to slope-intercept form:
ax + by + c = 0
by = -ax - c
y = -a/b x - c/b
Compare the conversion formula to y = 3/8 x + 12.
In the equation, the slope is 3/8, which is the result of -a/b.
a= -3 and b=8
In the equation, 12 is a result of -c/b.
If b is 8:
-c/b = 12
-c/8 = 12
-c = 96
c = -96
Test a= -3 and b=8 and c= -96 in standard form converts to y=3/8 x+ 12
ax + by + c = 0
-3x + 8y - 96 = 0
-3x + 8y = 96
8y = 3x + 96
y = 3/8 x + 96/8
y = 3/8 x +12
This is correct. Therefore a= -3, b=8 and c= -96.
The standard form is -3x + 8y - 96 = 0
