Question

26)Dada a reta que tem a equação 2x + 4y = 9, seu coeficiente angular é: a) -1/2 b) 3/2 c) 2 d) 2/3 e) -2 ​

Answer 1

$2x + 4y = 9 \\ 2x + 4 \times 0 = 9 \\ 2x + 0 = 9 \\ 2x = 9 \\ x = \frac{ 9}{2}$

$2 \times 0 + 4y = 9 \\ y = \frac{9}{4}$

$A (9,2) \: \: B (9,4) \\ m = Δy/Δx \\ m = 9 - 2 / 9 - 4 \\ m = 7/5 \\ m = - 1/2$

$a) \: - 1/2$