the equation y equals 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional fro
m the graph of the equation, and how can you find the constant of proportionality
1 answer:
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
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Answer:
x = 14 is an extraneous solution
Step-by-step explanation:
Divide both sides by 4.
Square both sides.
Since we squared both sides, we much check for extraneous solutions because the process of squaring both sides can introduce extraneous solutions.
Check x = 14:
16 = -16 is a false statement, so the solution we found, x = 14, is an extraneous solution.