Explain in your own words how to decide which method to use to graph a line.

Short Answer

Expert verified

It is explained how to graph a line based on its position in the coordinate plane.

Step by step solution

01

Given information

x=ais a vertical line.

y=b is a horizontal line.

02

Graph a line y=n on its position in the coordinate plane 0,n

To graph a line, use the x-Intercept, and the y-Intercept, if the line has them.

To find the x-intercept, substitute y=0in the function and calculate xcoordinate.

Plot the point x,0in the coordinate plane.

To find the y-intercept, substitute x=0in the function and calculate ycoordinate.

Plot the point 0,yin the coordinate plane.

Since two points are sufficient to draw the line, this is the easiest way to find the points on that line.

Draw the line through the plotted points.

If the line does not have the x-intercept, it follows that the line is parallel to the x-axis.

Line that is parallel to the x-axis has the equation y=n, where nis real number.

03

Graph a line x=n on its position in the coordinate plane n,0

If the line does not have the y-intercept, it follows that the line is parallel to the y-axis.

Line that is parallel to the y-axis has the equation x=n, where nis real number.

04

Write the conclusion

If it only has one variable, it is a vertical or horizontal line.

x=ais a vertical line passing through the x-axis at a.

y=bis a horizontal line passing through the y-axis at b.

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