Question

Plot the points (0, 6) and (3, 0). What is the slope?
6/-3
O 1/2
-1/2
6/3

Answer 1

The slope of a line passing through the points (0, 6) and (3, 0) is calculated using the formula slope = (y2 - y1) / (x2 - x1), which gives us a slope of -2.

Step-by-step explanation:

To determine the slope of a line between two points, use the formula:
slope (m) = (y2 - y1) / (x2 - x1).

In this case, the points are (0, 6) and (3, 0). So, plugging these values into the formula gives us:

slope = (0 - 6) / (3 - 0) = -6/3 = -2.

Therefore, the slope of the line that passes through the points (0, 6) and (3, 0) is -2.

Answer 2

Slope is "change in y over change in x".

`m=(y_2-y_1)/(x_2-x_1)`

Using those two points, you'd have

`m=(y_2-y_1)/(x_2-x_1) = (0-6)/(3-0)=(-6)/(3)=-2`

Notice that doesn't match any of the listed answers. The reason is that two of those answers aren't reduced.

If you reduce the first answer of
`(6)/(-3)`, you have
`(6)/(-3)=-2`. So that first answer is equivalent to the calculation above.

The answer from your list is the first one.