Respuesta :

devishri1977

Answer:

A) 4

Step-by-step explanation:

(-1,-7) ⇒ x₁ = -1 & y₁ = -7

(3,9) ⇒ x₂ = 3 & y₂ = 9

We can find the slope by the below mentioned formula,

       [tex]\boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                   [tex]\sf = \dfrac{9-(-7)}{3-(-1)}\\\\\\=\dfrac{9+7}{3+1}\\\\\\=\dfrac{16}{4}\\\\\\= 4[/tex]

Eveliinaa

■ slope ■

[tex]\rule{350}{2}[/tex]

▸given question

→ find the slope through (-1,-7) and (3,9)

▸ formula

→ [tex]\sf{m=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

▸ substitute the points

→ [tex]\sf{m=\cfrac{9-(-7)}{3-(-1)}}[/tex]

→ [tex]\sf{m=\cfrac{9+7}{3+1}}[/tex]

→ [tex]\sf{m=\cfrac{16}{4}}[/tex]

→ [tex]\sf{m=4}[/tex]

▸therefore, m = 4.

[tex]\rule{350}{2}[/tex]

regards..!

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