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Write the equation of the line that passes through the points(-6,8)and(0,-3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line..

Respuesta :

We will be using the slope formula to calculate m, or the slope of the line that passes through the points (-8, -6) and (-4, 2).

Remember, when you are calculating the slope from two given points, you are finding the change in y over the change in x.

P1 = ( x1, y1 )
P2 = ( x2, y2 )

m = Δy / Δx ---> m = (y2 - y1) / (x2 - x1)


Now let's assign the given points:
(-8, -6) --> x1 = - 8 & y1 = -6
(-4, 2) --> x2 = -4 & y2 = 2


Now, let's plug these values into the slope formula:
m = (y2 - y1) / (x2 - x1)
= (2 - (-6)) / ((-4) - (-8))


Let's simplify:
(2 - (-6)) / ((-4) - (-8))
= (8) / (4)
= 2

Therefore, the slope, or m, is 2.

Answer:

y-8= -11/6 (x+6)

Step-by-step explanation: