Y equals 3/8 x + 12 write the equation in standard form using integers

-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