y equals 3/8 x+ 12 write the equation in standard form using integers
Accepted Solution
A:
Answer:-3x + 8y - 96 = 0Step-by-step explanation:Standard form is ax + by + c = 0.Converting from standard to slope-intercept form:ax + by + c = 0by = -ax - cy = -a/b x - c/bCompare 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=8In the equation, 12 is a result of -c/b. If b is 8:-c/b = 12-c/8 = 12-c = 96c = -96Test a= -3 and b=8 and c= -96 in standard form converts to y=3/8 x+ 12ax + by + c = 0-3x + 8y - 96 = 0-3x + 8y = 968y = 3x + 96y = 3/8 x + 96/8y = 3/8 x +12This is correct. Therefore a= -3, b=8 and c= -96.The standard form is -3x + 8y - 96 = 0