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In the equation y=7x+9,if the 9 was changed to 3, how would the graph of the line be

In the equation y=7x+9,if the 9 was changed to 3, how would the graph of the line-example-1

1 Answer

3 votes

Answer

Option C is correct.

Step-by-step explanation

We are told that the equation of a straight line is

y = 3x + 9

We are then told that if the 9 is replaced with a 3, what does this indicate?

When graphs are shifted upwards or downwards along the y-axis, the effect of this translation is shown in the new equation for the graph.

If a graph, y = f(x) is moved a units upwards on the y-axis, the new graph has an equation of y = f(x) + a

If a graph, y = f(x) is moved b units downwards on the y-axis, the new graph has an equation of y = f(x) - b

So, when a graph of y = 3x + 9 changes to y = 3x + 3, it indicates that 6 units have been subtracted from the original function; showing that the original function has been moved 6 units downwards.

Hope this Helps!!!

User Tim Destan
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