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Given the equation y = 2x + 3, calculate the corresponding y values for x = -2, -1, 0, 1, 2, 3, 4 and complete the table.

Mathematics

ScanSolve AI Answer

Graph of y = 2x + 3

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Key points of y = 2x + 3
Pointxy
x-intercept−1.50
y-intercept03

Step-by-step solution

2 steps
  1. Calculate the value of yy for each given xx value using the equation y=2x+3y = 2x + 3.

    For x=−2x = -2:

    y=2(−2)+3=−4+3=−1y = 2(-2) + 3 = -4 + 3 = -1

    For x=−1x = -1:

    y=2(−1)+3=−2+3=1y = 2(-1) + 3 = -2 + 3 = 1

    For x=0x = 0:

    y=2(0)+3=0+3=3y = 2(0) + 3 = 0 + 3 = 3

    For x=1x = 1:

    y=2(1)+3=2+3=5y = 2(1) + 3 = 2 + 3 = 5

    For x=2x = 2:

    y=2(2)+3=4+3=7y = 2(2) + 3 = 4 + 3 = 7

    For x=3x = 3:

    y=2(3)+3=6+3=9y = 2(3) + 3 = 6 + 3 = 9

    For x=4x = 4:

    y=2(4)+3=8+3=11y = 2(4) + 3 = 8 + 3 = 11
  2. Complete the table with the calculated yy values.

    x-2-101234
    y-11357911

    To plot the graph, plot the points (−2,−1)(-2, -1), (−1,1)(-1, 1), (0,3)(0, 3), (1,5)(1, 5), (2,7)(2, 7), (3,9)(3, 9), and (4,11)(4, 11) on a coordinate plane and draw a straight line through them.

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