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How do you graph an equation using x and y intercepts.

Sagot :

jtm2588

Answer:

I'm going to use the following as an example.

[tex]2x + 4y = 8[/tex]

To find the y-intercept, set x equal to 0 then solve for y.

[tex]2(0) + 4y = 8[/tex]

two times zero is zero, so we have the following equation.

[tex]4y = 8[/tex]

Solve for y

[tex] \frac{4y}{4} = \frac{8}{4} \\ y = 2[/tex]

Your first point you will graph is (0, 2).

Now solve for the x intercept. To do this, set y = 0.

[tex]2x + 4(0) = 8[/tex]

4(0) = 0, so you can remove it, and solve for x.

[tex]2x = 8[/tex]

[tex] \frac{2x}{2} = \frac{8}{2} \\ x = 4[/tex]

Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.

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