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Graph the line given by the equation 4x - 4y = -32

User ByJeevan
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1 Answer

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Step - by - Step Explanation

We are to graph the line:

4x - 4y = -32.

Before graphing the line, we need to know the points on this line. To determine those points, find the x and y-intercept of the line.

• Y - intercept

The y - intercept is the point at which x =0.

To find the y-intercept , put x =0 and sove for y.

That is;

4(0) - 4y = -32

-4y = -32

Divide both-side of the equation by -4.

y = 8

Hence, the y-intercept is (0, 8).

• X- intercept

The x - intercept is the point at which y=0.

To find the x - inetrecpt, put y=0 and solve for x.

That is;

4x - 4(0) = -32

4x = -32

Divide both-side of the equation by 4

x = -8

The x -ntercept is (-8, 0).

Hence, the points are (-8, 0) and (0, 8).

Attached below is the graph of the given line equation.

Graph the line given by the equation 4x - 4y = -32-example-1
Graph the line given by the equation 4x - 4y = -32-example-2
User Faboor
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