LyricallyDamaged
Answered

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Write down the equations for the lines whose graphs are depicted below.

Write Down The Equations For The Lines Whose Graphs Are Depicted Below class=

Sagot :

MrRoyal

The graph depicts a linear equation

The equation of the graph is: [tex]\mathbf{y = 2x }[/tex]

From the graph, we have the following points:

[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]

[tex]\mathbf{(x_2,y_2) = (2,1)}[/tex]

So, the slope (m) is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

This gives

[tex]\mathbf{m = \frac{2-0}{1 -0}}[/tex]

[tex]\mathbf{m = \frac{2}{1}}[/tex]

[tex]\mathbf{m = 2}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = 2(x - 0) + 0}[/tex]

[tex]\mathbf{y = 2(x - 0)}[/tex]

[tex]\mathbf{y = 2x }[/tex]

Hence, the equation of the graph is: [tex]\mathbf{y = 2x }[/tex]

Read more about graphs and equations at:

https://brainly.com/question/18588430

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