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QuestionFind the equation of a line that contains the points (8, -1) and (-2, -1). Write the equation in slope-intercept form.

User Guy
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1 Answer

5 votes
5 votes

To solve the exercise, we can first find the slope of the line that passes through the given points. For this, we can use the following formula:


\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ \text{ Where }(x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}

Then, we have:


\begin{gathered} (x_1,y_1)=(8,-1) \\ (x_2,y_2)=(-2,-1) \\ m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ m=(-1-(-1))/(-2-8) \\ m=(-1+1)/(-10) \\ m=(0)/(-10) \\ m=0 \end{gathered}

As you can see, the line has a slope of zero, that is, it is a horizontal line.

The equation of a horizontal line is:


y=y_1_{}

Where y₁ coincides with b, the y-intercept of the line.

Therefore, the equation in its slope-intercept form of the line containing the given points is:


\boldsymbol{y=-1}

QuestionFind the equation of a line that contains the points (8, -1) and (-2, -1). Write-example-1
User Rantanplan
by
3.1k points
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