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y=1//2x+3,(4,5)

55) y=1/2x+3,(4,5) y=1 / 2 x+3,(4,5)

Full solution

Q. 55) y=1/2x+3,(4,5) y=1 / 2 x+3,(4,5)
  1. Given Equation and Point: We are given the equation y=12x+3y = \frac{1}{2}x + 3 and the point (4,5)(4,5). We need to determine if the point satisfies the equation. To do this, we will substitute the xx-value of the point into the equation and see if the resulting yy-value equals the yy-value of the point.
  2. Substitute xx into Equation: Substitute x=4x = 4 into the equation y=12x+3y = \frac{1}{2}x + 3.\newliney=12×4+3y = \frac{1}{2} \times 4 + 3
  3. Perform Multiplication: Perform the multiplication 12×4\frac{1}{2} \times 4.\newline12×4=2\frac{1}{2} \times 4 = 2
  4. Add to 33: Add the result from Step 33 to 33. \newliney=2+3y = 2 + 3
  5. Calculate Sum: Calculate the sum.\newliney=5y = 5
  6. Compare Y-values: Compare the calculated yy-value to the yy-value of the point (4,5)(4,5). The calculated yy-value is 55, and the yy-value of the point is also 55.

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