Mathematics, 18.01.2021 14:00 oof4457

Question 7(Multiple Choice Worth 5 points) (04.07A LC)
Which equation does the graph below represent?
15
12
9
6
3
2 3 4 5
-5 -4 -3 -2 -1 01
31
-6
.9
-12
-15
y =
y = -3x
y = 3x
y = x

Question 7(Multiple Choice Worth 5 points)

(04.07A LC)
Which equation does the graph below repres

Answers: 2

Show answers

Answers

Answer from: mahdy43

y = -3x

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,-6)

(x_3,y_3) = (-4,12)

The equation can then be solved using linear interpolation as follows:

$\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}$

This gives:

$\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}$

$\frac{y-12}{x+4} = \frac{-6 -0}{2-0}$

$\frac{y-12}{x+4} = \frac{-6}{2}$

$\frac{y-12}{x+4} = -3$

Multiply both sides by x + 4

$(x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)$

y - 12 = -3 *(x + 4)

Open bracket

y - 12 = -3x -12

Add 12 to both sides

y - 12+12 = -3x -12+12

y = -3x

Answer from: Quest

step-by-step explanation:

Answer from: Quest

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab in the y coordinate

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

x coordinate

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

y coordinate

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

x coordinate

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

y coordinate

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

x coordinate

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

y coordinate

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

x coordinate

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

y coordinate

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

x coordinate

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

y coordinate

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

x coordinate

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

y coordinate

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

x coordinate

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

y coordinate

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

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Question 7(Multiple Choice Worth 5 points) (04.07A LC)
Which equation does the graph below re...

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