Question

Find the slope for a line that passes through points (-3,-6) and (2,-8).

Answer 1

`\rm{-(2)/(5)`

Explanation:

Hi there!

We are given two points that the line passes through, and asked to calculate the slope.

We can easily calculate the slope using the given formula:

`\displaystyle(y2-y1)/(x2-x1)`

Plug in the values:

`\displaystyle(-8-(-6))/(2-(-3)) \\ \displaystyle(-8+6)/(2+3) \\ \displaystyle(-2)/(5) \\ \displaystyle(-2)/(5)`

Thus,
`\rm{-(2)/(5)` is our answer.

`\star\star`Hope it helps! Enjoy your day!

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Answer 2

`(-2)/(5)`

Explanation:

The equation for slope is:

`Slope = (y_(2)- y_(1) )/(x_(2)- x_(1) )`

We can plug in the given coordinates into the equation:

`Slope = (-8-(-6))/(2-(-3)) = (-8+6)/(2+3) =(-2)/(5)`