Answer:
y=-2x+5. (4,-3)
Step-by-step explanation:
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:
[tex]m=\frac{-3-3}{4-1}=m=\frac{-6}{3} m=-2[/tex]
[tex]3=1(-2)+b\\3+2=b\\ b=5\\ \\-3=4(-2)+b\\ b=8-3\\ b=5[/tex]
y=-2x+5
Proof:
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)
