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Find the equation of the line through the given points. (-8, 6) and (-8, 0)

User Granit
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1 Answer

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The equation of a line is typically written as y=mx+b, where m is the slope and b the y-intercept.

The slope can be calculated like this:


m=(y_2-y_1)/(x_2-x_1)

In this case you have x1=-8, y1=6, x2=-8 and y2=0. Replace this values on the slope formula


m=(0-6)/(-8-(-8))=(-6)/(-8+8)=(-6)/(0)\text{ the slope is undefined}

An undefined slope indicates that you have a vertical line parallel to the y-axis.

This line will pass through all points in the plane with an x-coordinate=constant (c). In this case this constant will be -8

The equation is written in the form x = c, then the equation of this line will be


x=-8

User Tobias Hunger
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