Answer:
The slope is 
The y-intercept is 9
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵ 
∴ m =
∴ The slope is
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
If Amelia starts with 6 feet of wire, the amount of necklaces that she can make is 18.
<h3>What is the
necklaces about?</h3>
Jewelry wire is known to be a kind of a wire that can be either a copper, brass, or others that are often used in jewelry making.
Note that Wire is seen today as a single unit, and it is also seen to be cylindrical, elongated part of drawn metal.
Using the table:
6 ÷ 1/3
= 6 x 3
= 18
Therefore, If Amelia starts with 6 feet of wire, the amount of necklaces that she can make is 18.
Therefore, option A is correct.
Learn more about Wiring from
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Answer:
Step-by-step explanation:
Suppose h is the inverse of f then
f(x) = y ⇔ h(y) = x
f(x) = y ⇔ 4x = y ⇔ x = y/4
and since x = h(y) then h(y) = y/4
then we can write :
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