Question

Determine o coeficiente angular (ou declividade) da reta que passa pelos pontos:
a) A( 3,2)e B(−3, −1)
b) A( 2, −3)e B(−4,3)
c) A( 3,2)e B(−3, −2)
d) A(−1,4)e B(3,2)

Answer 1

Explicação passo-a-passo:

a)

$\sf m=\dfrac{y_B-y_A}{x_B-x_A}$

$\sf m=\dfrac{-1-2}{-3-3}$

$\sf m=\dfrac{-3}{-6}$

$\sf m=\dfrac{1}{2}$

b)

$\sf m=\dfrac{y_B-y_A}{x_B-x_A}$

$\sf m=\dfrac{3-(-3)}{-4-2}$

$\sf m=\dfrac{3+3}{-4-2}$

$\sf m=\dfrac{6}{-6}$

$\sf m=-1$

c)

$\sf m=\dfrac{y_B-y_A}{x_B-x_A}$

$\sf m=\dfrac{-2-2}{-3-3}$

$\sf m=\dfrac{-4}{-6}$

$\sf m=\dfrac{2}{3}$

d)

$\sf m=\dfrac{y_B-y_A}{x_B-x_A}$

$\sf m=\dfrac{2-4}{3-(-1)}$

$\sf m=\dfrac{2-4}{3+1}$

$\sf m=\dfrac{-2}{4}$

$\sf m=\dfrac{-1}{2}$