Examen de rectes: pendent, punts i tall

Question 1

Una recta té pendent m = −2 i passa per P(−2, 10). Escrita com y = mx + b, quant val b?

Accepted Answer

b = 6

Question 2

Troba la recta que passa per A(−3, 7) i B(−4, 11), escrita com y = mx + b.

Accepted Answer

m = −4 · b = −5

Question 3

Una recta té pendent m = 4 i passa per P(−1, −6). Escrita com y = mx + b, quant val b?

Accepted Answer

b = −2

Question 4

Troba la recta que passa per A(−3, −10) i B(−4, −14), escrita com y = mx + b.

Accepted Answer

m = 4 · b = 2

Question 5

Troba la recta que passa per A(−3, −3) i B(−6, 0), escrita com y = mx + b.

Accepted Answer

m = −1 · b = −6

Question 6

Troba la recta que passa per A(−2, 3) i B(1, −9), escrita com y = mx + b.

Accepted Answer

m = −4 · b = −5

Question 7

Troba la recta que passa per A(1, 8) i B(3, 18), escrita com y = mx + b.

Accepted Answer

m = 5 · b = 3

Question 8

Troba la recta que passa per A(2, 3) i B(4, 1), escrita com y = mx + b.

Accepted Answer

m = −1 · b = 5

Question 9

Una recta té pendent m = 5 i passa per P(1, 1). Escrita com y = mx + b, quant val b?

Accepted Answer

b = −4

Question 10

En quin punt es tallen aquestes dues rectes? y = −x + 6 y = 3x + 2

Accepted Answer

x = 1 · y = 5

Question 11

En quin punt es tallen aquestes dues rectes? y = 4x − 3 y = 5x − 5

Accepted Answer

x = 2 · y = 5

Question 12

Troba la recta que passa per A(−1, 2) i B(1, −2), escrita com y = mx + b.

Accepted Answer

m = −2 · b = 0

Question 13

Una recta té pendent m = −1/2 i passa per P(2, 3). Escrita com y = mx + b, quant val b?

Accepted Answer

b = 4

Question 14

En quin punt es tallen aquestes dues rectes? y = x + 12 y = −(2/3)x − 8

Accepted Answer

x = −12 · y = 0

Question 15

Una recta té pendent m = 3 i passa per P(2, 10). Escrita com y = mx + b, quant val b?

Accepted Answer

b = 4

Question 16

En quin punt es tallen aquestes dues rectes? y = −5x − 2 y = (4/3)x − 2

Accepted Answer

x = 0 · y = −2

Question 17

Una recta té pendent m = 5/3 i passa per P(−6, −10). Escrita com y = mx + b, quant val b?

Accepted Answer

b = 0

Question 18

En quin punt es tallen aquestes dues rectes? y = −(1/2)x + 3 y = (1/3)x + 8

Accepted Answer

x = −6 · y = 6

📏 Rectes: pendent i punts