write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)

Answer 1

Two steps here. First get an equation and then rearrange into standard form.

Step One: Set slope equal rise over run like this:

1. 3 /8 = ( y + 4) / (x - 5)

Step Two: Cross multiply getting - 3x + 15 = 8y + 32

Rearrange into standard form getting 8y + 3x = - 17

Answer 2

Start with the point slope form:

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

8y + 32 = -3x + 15

3x + 8y = -17