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Write the equation in standard form for the line that passes through the given points. (Be sure to simplify and do not put passes between the terms.)

Write the equation in standard form for the line that passes through the given points-example-1
User Muhan
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1 Answer

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For this problem, we are provided two points and we need to determine the equation for the line in standard form.

The standard form of a line is given by:


Ax+By=C

However, it is best to find another variation first, like the point-slope form shown below:


y-y_p=m\cdot(x-x_p)

Where "m" is the slope, and (xp, yp) are the coordinates of a known point on the line. We can find the slope as shown below:


\begin{gathered} m=(y_2-y_1)/(x_2-x_1)\\ \\ m=(-2+2)/(-1+6)=(0)/(5)=0 \end{gathered}

The slope of the line is equal to 0, which means that it is a line parallel to the "x" axis. This means that the value of B is 0. The full expression is shown below:


\begin{gathered} y+2=0\cdot(x+6) \\ y+2=0 \\ y=-2 \\ y+0\cdot x=-2 \end{gathered}

The expression of the line in standard form is y+0x=-2.

User Riyaz Hameed
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