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Complete the table of values for y y=3x -12 and graph.

Complete the table of values for y y=3x -12 and graph.-example-1
User TheRyanMark
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1 Answer

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15 votes

Answer:

Table:

x y

0 -12

1 -15

-2 -6

2 -18

x-intercept = (-4, 0)

y-intercept = (0, -12)

slope = -3

Step-by-step explanation:

To complete the table, we need to replace x by each value in the table on the equation y = -3x - 12. So, we get:

x y = -3x - 12

0 -3(0) - 12 = - 12

1 -3(1) - 12 = -3 - 12 = -15

-2 -3(-2) - 12 = 6 - 12 = - 6

2 -3(2) - 12 = -6 - 12 = -18

Therefore, the complete table is:

x y

0 -12

1 -15

-2 -6

2 -18

Then, the graph of the function y = -3x - 12 is:

Then, the x-intercept is the point where the line crosses the x-axis. So, the x-intercept is the point (-4, 0)

On the other hand, if we have an equation with the form y = mx + b, m is the slope and b is the y-intercept. Since the equation is y = -3x - 12, the slope is -3 and the y-intercept is the point (0, -12)

Complete the table of values for y y=3x -12 and graph.-example-1