7 books costs $14, etc. We have points in a line
(7,14)
(8,16)
(9,18)
They're all points on the line y=2x which just means it costs $2 a book. So 1 book costs $2, 2 cost $4, and 3 cost $6. We have three new points:
(1,2)
(2,4)
(3,6)
They're all on the same line, y=2x, just closer to the origin than the first three. We plot a point at x=1, y=2, etc.
Merry Christmas
Let the cost of soap be x,
cost of razors = x + 2.5
total cost = 2x + 2.5
2x + 2.5 = 5.5
2x = 3
x = 1.5
cost of razors = 1.5 + 2.5
= 4
The cost of the packet of razors and bar of soap is £4.00 and £1.50 respectively.
The mathematical property demonstrated by 7+9+3=7+3+9 would be the commutative property. This property states that in operations such as addition and multiplication, when you switch the order of the numbers around, the result will always be the same. In 7+9+3=7+3+9, no matter what order you put the numbers in, the answer will always be 19.
Answer:
y=2x-16
Step-by-step explanation:
So since we have a point and the slope, we can use the point-slope equation to find our equation of a line
y - y₁ = m(x - x₁)
Here our (x₁, y₁) point is (4, -8) and our m is 2
Plugging in these values to our equation gives us:
y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the 8 from both sides gives our equation of a line y = 2x - 16
