Question

Find the slope of the line that passes through the points (1, -3) and (2, -1). a.) one half b). negative one half c). -2 d).2

Answer 1

`\displaystyle =2`

Explanation:

The slope formula is ⇒
`\displaystyle(Y_2-Y_1)/(X_2-X_1)`

`\displaystyle Y_2=(-1)\\\displaystyle Y_1=(-3)\\\displaystyle X_2=2\\\displaystyle X_1=1\\`

`\displaystyle ((-1)-(-3))/(2-1)=(2)/(1)=2`

Therefore, the slope is 2, and the correct answer is 2.

Hope this helps!

Answer 2

d).2

Explanation:

Use the following equation:

slope (m) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (1 , -3)

(x₂ , y₂) = (2 , -1)

Plug in the corresponding numbers to the corresponding variables:

m = (-1 - (-3))/(2 - 1)

Simplify. Combine like terms. Remember to follow PEMDAS. Remember that two negatives = one positive:

m = (-1 + 3)/(2 - 1)

m = (2)/(1)

m = 2

d).2 is your slope.

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