Question

Find the slope of the line passing through the points (4,-7) and (2,-2).

Answer 1

Answer: the slope of the line passing through the points (4, -7) and (2, -2) is -5/2.

Explanation:

To find the slope of a line passing through two points, we can use the slope formula:

Slope (m) = (y2 - y1) / (x2 - x1)

In this case, the given points are (4, -7) and (2, -2).

Let's substitute the coordinates into the formula:

Slope (m) = (-2 - (-7)) / (2 - 4)

= (-2 + 7) / (2 - 4)

= 5 / (-2)

Simplifying the fraction, we get:

Slope (m) = -5/2

So, the slope of the line passing through the points (4, -7) and (2, -2) is -5/2.

Answer 2

Answer:
`-(5)/(2)`

Explanation:

To find the slope, we want to use the formula
`m=(y_2-y_1)/(x_2-x_1)`. We are given two coordinate points to plug into the formula.

`m=(-2-(-7))/(2-4)=(5)/(-2) =-(5)/(2)`

Therefore, the slope is
`-(5)/(2)`.