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What is the x and y intercept for
2x+4y=-12

Sagot :

Step-by-step explanation:

To find the \(x\)-intercept and \(y\)-intercept of the equation \(2x + 4y = -12\), we need to determine the points where the line crosses the \(x\)-axis and \(y\)-axis respectively.

### \(x\)-Intercept

The \(x\)-intercept is the point where the line crosses the \(x\)-axis. At this point, \(y = 0\). So we substitute \(y = 0\) into the equation and solve for \(x\):

\[

2x + 4(0) = -12

\]

\[

2x = -12

\]

\[

x = -6

\]

So the \(x\)-intercept is \((-6, 0)\).

### \(y\)-Intercept

The \(y\)-intercept is the point where the line crosses the \(y\)-axis. At this point, \(x = 0\). So we substitute \(x = 0\) into the equation and solve for \(y\):

\[

2(0) + 4y = -12

\]

\[

4y = -12

\]

\[

y = -3

\]

So the \(y\)-intercept is \((0, -3)\).

### Summary

- The \(x\)-intercept is \((-6, 0)\).

- The \(y\)-intercept is \((0, -3)\).

patiencekonadu330

Answer:

x= –6 and y= –3

Step-by-step explanation:

When you are given a number like this remember that the x and y intercept is = 0.

To find the y intercept divide 4y and –12 to get –3

To find the x intercept divide 2x and –12 to get –6

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