Write the equation of the line that passes through the points (-6,-6) and (−2,−4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

y=-1/4x-4.5

Step-by-step explanation:

We will  be using the equation of y=mx+c, where m is the slope, and c is the y intercept.

In order to find the slope,  we need to use the two points we are given.

The formula for the slope is m= (y1-y2)/(x1-x2), where m is the slope.

Therefore, m=(-6+4)/(6+2)

=-2/8

=-1/4

m=-1/4

y=-1/4x+c

I will choose one of the coordinates to plug into x and c. Lets use (6,-6).

y=-1/4(6)-6)

y=-9/2a

Therefore,

y=-1/4x-4.5 is your final answer

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