Examen de rectes: pendent, punts i tall

Question 1

Una recta té pendent m = −5 i passa per P(−3, 16). Escrita com y = mx + b, quant val b?

Accepted Answer

b = 1

Question 2

Una recta té pendent m = −4 i passa per P(1, −7). Escrita com y = mx + b, quant val b?

Accepted Answer

b = −3

Question 3

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

Accepted Answer

b = −1

Question 4

Una recta té pendent m = −2 i passa per P(1, −6). Escrita com y = mx + b, quant val b?

Accepted Answer

b = −4

Question 5

Una recta té pendent m = 5 i passa per P(−3, −13). Escrita com y = mx + b, quant val b?

Accepted Answer

b = 2

Question 6

Troba la recta que passa per A(1, 0) i B(2, −4), escrita com y = mx + b.

Accepted Answer

m = −4 · b = 4

Question 7

Troba la recta que passa per A(2, 0) i B(0, −6), escrita com y = mx + b.

Accepted Answer

m = 3 · b = −6

Question 8

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

Accepted Answer

x = −2 · y = 0

Question 9

Troba la recta que passa per A(3, 5) i B(5, 7), escrita com y = mx + b.

Accepted Answer

m = 1 · b = 2

Question 10

En quin punt es tallen aquestes dues rectes? y = 5x + 10 y = −5x

Accepted Answer

x = −1 · y = 5

Question 11

Troba la recta que passa per A(−2, −3) i B(0, −1), escrita com y = mx + b.

Accepted Answer

m = 1 · b = −1

Question 12

En quin punt es tallen aquestes dues rectes? y = −3x + 3 y = −x − 1

Accepted Answer

x = 2 · y = −3

Question 13

Troba la recta que passa per A(−9, −4) i B(0, 2), escrita com y = mx + b.

Accepted Answer

m = 2/3 · b = 2

Question 14

Troba la recta que passa per A(−3, −5) i B(−12, −2), escrita com y = mx + b.

Accepted Answer

m = −1/3 · b = −6

Question 15

Una recta té pendent m = −1/2 i passa per P(2, −4). Escrita com y = mx + b, quant val b?

Accepted Answer

b = −3

Question 16

Troba la recta que passa per A(3, −1) i B(0, −3), escrita com y = mx + b.

Accepted Answer

m = 2/3 · b = −3

Question 17

En quin punt es tallen aquestes dues rectes? y = −(2/3)x − 9 y = −4x − 49

Accepted Answer

x = −12 · y = −1

Question 18

En quin punt es tallen aquestes dues rectes? y = −(2/3)x + 2 y = −3x + 16

Accepted Answer

x = 6 · y = −2

Rectes: pendent i punts