Question

What is the slope of the line that passes through the points (4,8) and (8,6)?

Answer 1

The slope of the line through the points
`(4,8)` and
`(8,6)` is calculated using the slope formula and is found to be
`-0.5.`

Step-by-step explanation:

Calculating the Slope of a Line:

To find the slope of the line that passes through the points
`(4,8)` and
`(8,6)`we use the formula for slope, which is the change in y (the rise) over the change in x (the run).

The slope formula is represented as
`(y2 - y1) / (x2 - x1)` where
`(x1, y1)`and
`(x2, y2)` are the coordinates of the two points.

Using the given points
`(4,8)` and
`(8,6)`, let's designate
`(4,8)` as
`(x1, y1)` and
`(8,6)` as
`(x2, y2)`. Substituting the values into the slope formula, we get:

Slope
`(m) = (6 - 8) / (8 - 4) = (-2) / (4) = -0.5`

Therefore, the slope of the line that passes through the points
`(4,8)` and
`(8,6)` is
`-0.5.`