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Complete the table for the equation y = (1)/(2)x + 3.

Mathematics

ScanSolve AI Answer

Graph of y = 1/2x + 3

Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.

Key points of y = 1/2x + 3
Pointxy
x-intercept−60
y-intercept03

Step-by-step solution

2 steps
  1. Complete the table for the equation y=12x+3y = \frac{1}{2}x + 3.

    • For x=−4x = -4: y=12(−4)+3=−2+3=1y = \frac{1}{2}(-4) + 3 = -2 + 3 = 1
    • For x=−2x = -2: y=12(−2)+3=−1+3=2y = \frac{1}{2}(-2) + 3 = -1 + 3 = 2
    • For x=0x = 0: y=12(0)+3=0+3=3y = \frac{1}{2}(0) + 3 = 0 + 3 = 3
    • For x=2x = 2: y=12(2)+3=1+3=4y = \frac{1}{2}(2) + 3 = 1 + 3 = 4
    • For x=4x = 4: y=12(4)+3=2+3=5y = \frac{1}{2}(4) + 3 = 2 + 3 = 5

    The completed table is:

    x-4-2024
    y12345
  2. Draw the graph of y=12x+3y = \frac{1}{2}x + 3 on the provided grid.

    Plot the points from the completed table:

    • (−4,1)(-4, 1)
    • (−2,2)(-2, 2)
    • (0,3)(0, 3)
    • (2,4)(2, 4)
    • (4,5)(4, 5)

    Draw a straight line connecting these points. The graph shown in the image correctly plots these points and draws the line.

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