50 points just a lil confused is the equation: one solution, no solution, or infinity many solutions

y=-2x-4
y=1/2x-5 (the 1/2x trips me up)

One solution: (0.4, -4.8)

Step-by-step explanation:

Given equations

y = -2x - 4 y = 1/2x - 5

This system has one solution since the two lines represented by the equations have different slopes.

Solution:

-2x - 4 = 1/2x - 5-2x - 1/2x = -5 + 4-2.5x = -12.5x = 1x = 1/2.5x = 0.4

And y is:

y = -2*0.4 - 4 = -4.8

The point is:

(0.4, -4.8)

Answer might be d.i think

Main idea on left, details on right