Question

What equation defines a line that intersects the graph of 6x-2y=10 exactly once?

Answer 1

Any line with a slope different than 3 will intercept the given line only once.

What equation defines a line that intersects the graph?

The answer will be any line that is not parallel (nor the same) to the given line.

Remember two lines are parallel if the lines have the same slope and different y-intercept

In this case, the given linear equation is:

6x - 2y = 10

y = 3x - 5

So the slope is 3 and the y-intercept is -5.

Then, any line with a slope different than 3 will intercept this line only once.

An example can be:

y = 314*x

If you want to learn more about linear equations:

brainly.com/question/4025726

#SPJ1