A line with the equation y=7x−3

is drawn on the coordinate plane. The line is then translated 5 units to the left and 2 units up. Which statement is true?(1 point)
Responses

The slope of the translated line becomes 7+2, or 9.
The slope of the translated line becomes 7+2, or 9.

The slope of the translated line becomes 7–5, or 2.
The slope of the translated line becomes 7–5, or 2.

The slope of the translated line remains 7.
The slope of the translated line remains 7.

The slope of the translated line becomes 7+5, or 12.

1 answer

When a line is translated in the coordinate plane, the slope of the line remains unchanged.

In this case, the line \( y = 7x - 3 \) has a slope of 7. After translating the line 5 units to the left and 2 units up, the new equation of the line will still have the same slope.

Thus, the correct statement is:

The slope of the translated line remains 7.

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