OaklinJ590053 OaklinJ590053
  • 25-10-2022
  • Mathematics
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Find the equation of the line. Use exortumbers. st V = 2+ 9 8- 6+ 5+ -4 3+ 2+ 1+ T + -9-8-7-65 2 3 5 6 7 8 9 4 -3 -2 -2 + -3+ -4+ -5* -6+ -7+ -8+

Find the equation of the line Use exortumbers st V 2 9 8 6 5 4 3 2 1 T 98765 2 3 5 6 7 8 9 4 3 2 2 3 4 5 6 7 8 class=

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RaedenF615087 RaedenF615087
  • 25-10-2022

We can see that the line passes by the points (0, -5) & (5, 0), using this information we proceed as follows:

1st: We find the slope(m):

[tex]m=\frac{0+5}{5-0}\Rightarrow m=1[/tex]

2nd: We use one of the points from the line and the slope to replace in the following expression:

[tex]y-y_1=m(x-x_1)[/tex]

That is (Using point (0, -5):

[tex]y+5=1(x-0)[/tex]

Now, we solve for y:

[tex]\Rightarrow y=x-5[/tex]

And that is the equation of the line shown.

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