Write the equation of the line in standard form that passes through the origin and is parallel to x + y equals 6

Step-by-step explanation:

The equation of the line slope-intercept form is:

Where m is the slope and b is the y-interecept.

The standard form is:

You know that must be parallel to , therefore both have the same slope. So you must solve for y:

Substitute the slope m=-1. Since the line passes through the origin b=0:

Then in standar form is:

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."