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galina1969 [7]
4 years ago
14

Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 i

n increments of 1 for each grid line, and the y axis values are from negative 20 to positive 20 in increments of 4 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 16 and 0, 0 and 4, 16. y = fraction 1 over 4 + x y = fraction 1 over 4x y = 4 + x y = 4x
Mathematics
1 answer:
Irina18 [472]4 years ago
5 0

Answer:

y = 4x

Step-by-step explanation:

Points on the graph:

  • (-4, -16), (0,0), (4, 16)

<u>Slope intercept form:</u>

  • y = mx + b

<u>Working out slope using two of the points:</u>

  • m= (y2-y1)/(x2-x1)
  • m= (0- (-16))/(0- (-4))
  • m= 16/4
  • m= 4

<u>The equation is now:</u>

  • y = 4x + b

<u>Using one of the points to find b:</u>

  • -16 = 4*(-4) +b
  • -16 = -16 + b
  • b = 0

<u>So the final form is:</u>

  • y = 4x

<u>Correct answer choice is</u> the last one

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