Respuesta :

Answer:

I think the answer is y = 1/x + 35? But, don't hold me to it.

Step-by-step explanation:

First, find the negative reciprocal of the slope.

Based on the equation, y = -x - 6, the negative reciprocal of the slope would be 1/x.

So, now we use slope-intercept form( y = mx + b):

1. Substitute in the new slope.

y = 1/x + b

2. Now, substitute in the coordinate, (-9, -4).

-4 = 1/-9 + b

3. Multiply both sides by -9.

36 = 1 + b

4. Subtract 1 from both sides.

35 = b.

Now we have the value of b to put into the equation:

y = 1/x + 35

 

MsRay

Answer:

y = x + 5

Step-by-step explanation:

Lines that are perpendicular to each other have opposite, reciprocal slopes.  Given the initial line of y = -x - 6, which is written in slope-intercept form (y = mx + b), the slope is -1.  The opposite, reciprocal of -1 is positive 1, (1). Next, you can use the slope-intercept formula and the given point (-9, -4) to find the value of 'b', or the y-intercept:

y = mx + b or -4 = (1)(-9) + b

-4 = -9 + b

5 = b

y = x + 5

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