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Question

# Write the equation of each line described.Through $(-2,7)$ and $(6,-4)$

Solution

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Step 1
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In this question, we will first calculate the slope using the following formula:

$m=\left(\frac{y_2-y_1}{x_2-x_1}\right)\tag{1}$

where, $(x_1,y_1)$ and $(x_2,y_2)$ are two fixed points on the line.

Then, we will put the value of the slope, $m$, in the point-slope form given below and compute the line equation:

$y-y_1 = m(x-x_1)\tag{2}$

where, $(x_1,y_1)$ is a fixed point on the line.

[Note: We can use any of the two points given in equation $(1)$.]

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