Question

What is the slope of a line that passes through the points (-2,3) and (4,-12)

Answer 1

`\text{Hey there!}`

`\bf(y_2-y_1)/(x_2-x_1)}\leftarrow\text{is the slope formula}`

`\bf{y_2=-12}\\\bf{y_1=3}\\\bf{x_2=4}\\\bf{x_1=-2}`

`(-12-3)/(4-(-2))\\\\\\\text{-12 - 3 = -15}\\\\\\\text{4 - (-2) = 6}`

`= (-15)/(6)`

`\boxed{\boxed{\bf{Answer: (-15)/(6)}}}\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

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Answer 2

m = -5/2

Explanation:

Solve for slope with the following equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(4 , -12) = (x₁ , y₁)

(-2 , 3) = (x₂ , y₂)

Plug in the corresponding numbers to the corresponding variables:

m = (3 - (-12))/(-2 - 4)

m = (3 + 12)/(-2 - 4)

m = (15)/(-6)

Simplify the slope:

m = -(15/6) = -5/2

-5/2 is your slope.

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