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find the x and y intercepts of the linear equation 2x - 4y = -20

Sagot :

Answer:

see explanation↓

Step-by-step explanation:

We are given the following equation of a line:

[tex]2x-4y=-20[/tex]

To determine the x-intercept we must set "y = 0":

[tex]2x-4(0)=-20[/tex]

[tex]2x=-20[/tex]

Now, we divide both sides by 2:

[tex]x=-\frac{20}{2}=-10[/tex]

Therefore, the "x" intercept is -10.

To determine the y-intercept we set "x = 0":

[tex]2(0)-4y=-20[/tex]

[tex]-4y=-20[/tex]

Now, we divide both sides by -4:

[tex]y=\frac{-20}{-4}=5[/tex]

Therefore the y-intercept is 5.

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