How do you do this. Please someone explain?

  y = (1/2)x-2

This is the same as y = 0.5x-2

Slope = 1/2 = 0.5

Y intercept = -2

Work Shown:

Compare the equation to y = mx+b to find that m = -2 is the slope.

Think of -2 as -2/1. Flip the fraction to get -1/2. Then flip to positive getting 1/2.

The original slope is -2. The perpendicular slope is 1/2 = 0.5

We'll use this perpendicular slope alone with (x,y) = (-4,-4) to get the following for b

y = mx+b

-4 = 0.5*(-4) + b ... plug in the m,x, and y values mentioned above

-4 = -2 + b

-4+2 = b ... adding 2 to both sides

-2 = b

b = -2

Since m = 0.5 and b = -2, we go from y = mx+b to y = 0.5x-2

This is the same as y = (1/2)x-2 since 1/2 = 0.5

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step-by-step explanation: