Complete the equation of the line through (-6,5) and (-3,-3). Use exact numbers.

y = - 8/3 x - 11

Step-by-step explanation:

We start by finding the slope of the segment thatjoins the two points using the slope formula:

slope = (y2 - y1) / (x2 - x1)

In our case:

slope = (-3 -5) / (-3 - -6) = -8/3

Now that we have the slope, we use the general expression for a line in slope-intercept form ( y = m x + b), requesting that one of the given points (for example point (-3, -3) )is part of the line as shown below:

y = m x + b

y = - 8/3 x + b

(-3) = - 8/3 (-3) + b

- 3 = 8 + b

b = - 11

Then the equation of the line is:

y = - 8/3 x - 11

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step-by-step explanation: