Select the locations on the number line to plot the points 9/2 and −7/2 .

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06-03-2018
Mathematics

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Select the locations on the number line to plot the points 9/2 and −7/2 .

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Find the equation of the line with slope −2 and that contains the point (−9,−7). Write the equation in the form y=mx+b and identify m and b.

Mrscomputator Mrscomputator · Answer 1 · 2018-03-16T00:33:57+01:00

To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.

boffeemadrid boffeemadrid · Answer 2 · 2021-10-29T08:19:14+02:00

The locations of the given numbers on the number line are needed.

The locations have been shown in the figure attached.

The numbers are [tex]\dfrac{9}{2}[/tex] and [tex]-\dfrac{7}{2}[/tex]

The numbers can be written as

[tex]\dfrac{9}{2}=4.5[/tex]

[tex]-\dfrac{7}{2}=-3.5[/tex]

In the given number line it can be seen that the longer vertical lines are whole numbers which are positive and negative.

The smaller vertical lines are an increment of [tex]0.5[/tex].

As the extreme ends are [tex]+5[/tex] and [tex]-5[/tex] the center longer vertical line will be [tex]0[/tex].

So, [tex]4.5[/tex] will be the smaller vertical line to the left of [tex]+5[/tex].

[tex]-3.5[/tex] will be the smaller vertical line to the right of [tex]-4[/tex].

The locations have been shown in the figure attached.

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