Question

Find the slope of a line parallel to the line whose equation is 12, x, minus, 2, y, equals, 2812x−2y=28. Fully simplify your answer.

Answer 1

To find the slope of a line parallel to the given line, we need to find the slope of the given line.

The equation of the given line is 2812x - 2y = 28.

We can rewrite this equation in terms of y:
-2y = -2812x + 28
Dividing both sides by -2, we get:
y = 1406x - 14

Now we can see that the slope of the given line is 1406.

Since parallel lines have the same slope, the line parallel to this line will also have a slope of 1406.

Therefore, the slope of a line parallel to the line whose equation is 12x - 2y = 28 is 1406.