Question

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Answer 1

G.
`\displaystyle (4)/(3)`

Explanation:

Hi there!

`slope=\displaystyle (y_2-y_1)/(x_2-x_1)` where two given points are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug in the given points (-6,-13) and (3,-1)

`slope=\displaystyle (-1-(-13))/(3-(-6))\\\\slope=\displaystyle (-1+13)/(3+6)\\\\slope=\displaystyle (12)/(9)\\\\slope=\displaystyle (4)/(3)`

Therefore, the slope of the line is
`\displaystyle (4)/(3)`.

I hope this helps!

Answer 2

4/3

Explanation:

To find the slope, we can use the slope formula

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

= ( -1 - -13)/( 3 - -6)

= (-1+13)/( 3+6)

= 12/9

= 4/3