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Al Chat DeltaMath Student A9 Detamath Student A. A scale drawing of a txt2speech [ A alegbrator Jupiter classroom All Bookmarks Find the equation that represents the proportional relationship in this graph, for y in terms of x.

Al Chat\newlineDeltaMath Student A9 A 9 \newlineDetamath Student A.\newlineA scale drawing of a\newlinetxt22speech [ [ A alegbrator\newlineJupiter\newlineclassroom\newlineAll Bookmarks\newlineFind the equation that represents the proportional relationship in this graph, for y y in terms of x x .

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Q. Al Chat\newlineDeltaMath Student A9 A 9 \newlineDetamath Student A.\newlineA scale drawing of a\newlinetxt22speech [ [ A alegbrator\newlineJupiter\newlineclassroom\newlineAll Bookmarks\newlineFind the equation that represents the proportional relationship in this graph, for y y in terms of x x .
  1. Determine Constant of Proportionality: To find the equation of a proportional relationship, we need to determine the constant of proportionality, which is the slope of the line in the graph.
  2. Pick Two Points: Pick two points on the line in the graph. Let's say the points are (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2).
  3. Calculate Slope: Calculate the slope kk using the formula k=y2−y1x2−x1k = \frac{y_2 - y_1}{x_2 - x_1}. Suppose we picked points (2,4)(2, 4) and (4,8)(4, 8).
  4. Plug in Values: Plug in the values into the slope formula: k=8−44−2=42=2k = \frac{8 - 4}{4 - 2} = \frac{4}{2} = 2.
  5. Equation of Proportional Relationship: The equation of a proportional relationship is y=kxy = kx. Since we found k=2k = 2, the equation is y=2xy = 2x.

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