Question

what is the standard form of the equation of the line through (0,-3) with slope 2/5

Answer 1

All you need to find the equation is a point and a slope, you have both of them.
Now just plug it into this formula:
\[y-y_1=m(x-x_1)\]
And solve for y.

Answer 2

\[(x_1, y_1) = (0, -3)\]

Answer 3

the answer would be -2/5x+y+-3 is that correct

Answer 4

Just make sure it's in the standard form, aka, solved for y.
y=mx+b

Answer 5

while m is the slope and b is the free term.

Answer 6

y-(-3)=2/5(x-0)
y+3=2/5x
y=2/5x-3