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What is the equation of the line that passes
through the points (3, -10) and (-8, –4)?
Show your work here

Sagot :

rspill6

Answer:

Step-by-step explanation:

First, find the slope of the line for the two points.

Slope is Rise/Run.

For the two points (-8,-4) and (3,-10):

Rise (-10 - (-4)) = -6

Run (3 - ( -8)) = 11

The slope is Rise/Run or -(6/11)

The equation becomes y = -(6/11)x + b

Find b by entering either of the 2 points given.  I'll use (3,-10):

y = -(6/11)x + b

-10 = -(6/11)(3) + b

b = -10 + (6/11)(3)

b = -10 +(18/11)

b = -(110/11) + (18/11)

b = -(92/11)

The equation becomes y = -(6/11)x - (92/11)

See attached graph.

View image rspill6
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