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Determine the equation of the line that passes through the points (0,−9) and (6,1)no need to be detailed

User Catina
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We need to find the equation of the line that passes through the points (0,-9) and (6,1).

To solve it we're going to use the equation of a line given as:


y-y_0=m(x-x_0)

Where m represents the slope of the line and y0, x0 is any point of the line.

To find, firstly, the slope we're going to use the following formula:


m=(y_2-y_1)/(x_2-x_1)=(1-(-9))/(6-0)=(10)/(6)=(5)/(3)

Now, we reply to the slope in the equation line and chose any point from the ones given by the statement. To make easily the counts we can use (0,-9).


y-(-9)=(5)/(3)(x-0)
y=(5)/(3)x-9

Then the correct answer for the equation of the line that passes through the points (0,-9) and (6,1) is:


y=(5)/(3)x-9
User Life Is Complex
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