Question

Input in stand form the equation of the given line.

The line with m = -3/8 and passing through (5,-4)

Answer 1

3x +8y = -17

Explanation:

The point-slope equation is a good place to start.

y -k = m(x -h) . . . . . equation through (h, k) with slope m

Filling in your numbers gives ...

y +4 = -3/8(x -5)

Multiplying by 8, we get

8y + 32 = -3x + 15

Adding 3x-32 puts this in standard form.

3x + 8y = -17

_____

Standard form is ...

ax +by = c

where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)