Which of the following coordinates is a solution to the linear expression?

y= 4x - 9

a) (-5,11)
b) (-2,-1)
c) (4,7)
d) (1,13)

Step-by-step explanation:

(x, y)

Put the coordinates of the points to the equation and check the equality.

y = 4x - 9

A(-5, 11) → x = -5, y = 11

L = 11

R = 4(-5) - 9 = -20 - 9 = -29

L ≠ R

B(-2, -1) → x = -2, y = -1

L = -1

R = 4(-2) - 9 = -8 - 9 = -17

L ≠ R

C(4, 7) → x = 4, y = 7

L = 7

R = 4(4) - 9 = 16 - 9 = 7

L = R

D(1, 13) → x = 1, y = 13

L = 13

R = 4(1) - 9 = 4 - 9 = -5

L ≠ R

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

hello, never fear papaguy is here!

c. histogram

step-by-step explanation: