1) What's being asked in other words is to write a function. So the initial point is (1,3). In x-axis, a translation movement can only be to the right or to the left. Similarly for y-axis the possible movements are shifting up or down. The question says, 3 units right for x-cordinate and 6 units down for y cordinate. So the final point of this translation would be (1+3,3-6) =(4,-3)

2) To write a linear function we need to find out the slope:

$m=\frac{-3-3}{4-1}=m=\frac{-6}{3} m=-2$

$3=1(-2)+b\\3+2=b\\ b=5\\ \\-3=4(-2)+b\\ b=8-3\\ b=5$

y=-2x+5

<u>Proof:</u>

x=1

y=-2(1)+5

y=3 Then (1,3)

x=4

y=-2(4)+5

y=-8+5

y=-3 Then (4,-3)

4 0

2 years ago

PLS HELP - 15 POINTS!! THANKS ! :)

brilliants [131]

Answer:

k=3+6x

Step-by-step explanation:

the question says that k is an expression where x is a variable soo...

rewrite the given expressio with bases of 3

27×9^3x = 3k

3^3 × 3^2(3x) = 3k

Rule of exponent says that equal when you multiple you add exponent. Another rule says that equal bases cancel

3^6x+3 =3^k

6x+3=k

8 0

2 years ago