Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?
2 answers:
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Answer:
Yes, y = x represents a proportional relationship and the constant of proportionality is
Step-by-step explanation:
<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>
- If x and y are proportion, then y = k x, where k is the constant of proportionality
- The proportional relationship represented graphically by a line passing through the origin point (0, 0)
Let us solve the question
∵ y = x
→ It the same as the form of the proportional equation above
∵ is a constant
∴ y is the product of x and constant
∴ y = x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y = (0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y = x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y = x
∴ k =
∴ The constant of proportionality is