Question

Refer to the equation 2x − 4y = 16. (a) Create a table of values for at least 4 points including the x and y intercepts. Show your work. (b) Use the table of values to graph the line.

Answer 1

See explanation below.

Explanation:

Given equation: 2x - 4y = 16

First, find the x intercept by setting y to zero and solving for x:

2x - 4(0) = 16

2x = 16

x = 8, giving (8, 0), and the x intercept.

Now, solve for y to get the y intercept:

2x - 4y = 16

-4y = 16 - 2x

-4y = -2x + 16

y = -2/-4x + 16/-4

y = 1/2x - 4, giving the y intercept (0, -4)

Find two more points:

f(2) = 1/2(2) - 4 = 1 - 4 = -3, giving (2, -3)

f(4) = 1/2(4) - 4 = 2 - 4 = -2, giving (4, -2)

The x Intercept is: (8, 0)

The y intercept is: (0, -4)

Point 3: (2, -3)

Point 4: (4, -2)

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