Question

Write the equation of the line that passes through the points (-2,6) and (4, 6). Put

Answer 1

Answer:

y = 6

Step-by-step explanation:

Lets first try to find the slope between the two points. Note, if the slope is 0, then the line would be a horizontal line. If the slope is undefined, then it is a vertical line.

We can use the slope formula to find the slope between the two lines, but notice something. The slope formula is technically just the change in y divided by the change in x. Between the two points, the y-value does not change and the x-value does change. This means that the change in y is 0, but the change in x is not zero. This means that the slope would be 0, resulting in a horizontal line.

Now, we know that the resulting line is horizontal, meaning it will take the form of y = _. Since the y-values for both of the points is 6, it makes sense to say that the equation for the line would be y = 6.

I hope this helps. Happy studying.