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Graph the line that passes through the points (0,-6) and (-6,-1) and determine the equation of the line.

User Seanpj
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1 Answer

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The equation of the line is y = (-5/6)*x - 6, and the graph is in the image at the end.

How to determine the equation?

First to graph the line. To do so, just graph the two given points in a coordinate axis, and draw a line that passes trough both of these points.

Now let's find the equation, the general equation of a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

Because we have the point (0, -6), we know that the y-intercept is -6, so we get:

y = ax - 6

Replacing the values of the other point (-6, -1) we will get:

-1 = a*-6 - 6

-1 + 6 = -6a

5/-6 = a

-5/6 = a

So the line is:

y = (-5/6)*x - 6

Graph the line that passes through the points (0,-6) and (-6,-1) and determine the-example-1
User Wahalulu
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