Graph the Linear Function: Y = 5X

Y is a function of X that matches 5 times X .

Which graph represents the function described above?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Draw the function graph
00:03 Function equation according to the given data
00:06 Substitute values in X and find the corresponding Y values according to the given data
00:12 Plot each point in our coordinate system
00:18 Draw the appropriate graph
00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Y is a function of X that matches 5 times X .

Which graph represents the function described above?

2

Step-by-step solution

To find the correct graph, follow these steps:

  • Step 1: Identify the equation Y=5X Y = 5X as a linear function with a slope of 5 and a y-intercept of 0.
  • Step 2: Locate the graph that depicts a line passing through the origin (0,0) with a steep rise indicating a slope of 5.
  • Step 3: Examine the given choices to see which one fits this description.

After examining the choices, the appropriate graph shows a line passing through the origin with the correct slope of 5. The correct representation of the function Y=5X Y = 5X is:

–17–17–17–16–16–16–15–15–15–14–14–14–13–13–13–12–12–12–11–11–11–10–10–10–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010–15–15–15–10–10–10–5–5–5

3

Final Answer

–17–17–17–16–16–16–15–15–15–14–14–14–13–13–13–12–12–12–11–11–11–10–10–10–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010–15–15–15–10–10–10–5–5–5

Practice Quiz

Test your knowledge with interactive questions

Is the given graph a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

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