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Y=2x+32Y= 2x + \frac{3}{2} dilated by a scale factor of 66

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Full solution

Q. Y=2x+32Y= 2x + \frac{3}{2} dilated by a scale factor of 66
  1. Multiply x-coefficient: To dilate the line Y=2x+32Y = 2x + \frac{3}{2} by a scale factor of 66, we need to multiply both the x-coefficient and the constant term by the scale factor.
  2. Multiply constant term: Multiply the xx-coefficient (which is 22) by the scale factor (which is 66).\newline2×6=122 \times 6 = 12\newlineSo the new xx-coefficient is 1212.
  3. Write new equation: Multiply the constant term (which is 32\frac{3}{2}) by the scale factor (which is 66).\newline(32)×6=3×3=9(\frac{3}{2}) \times 6 = 3 \times 3 = 9\newlineSo the new constant term is 99.
  4. Write new equation: Multiply the constant term (which is 32\frac{3}{2}) by the scale factor (which is 66).\newline(32)×6=3×3=9(\frac{3}{2}) \times 6 = 3 \times 3 = 9\newlineSo the new constant term is 99. Write the new equation using the dilated coefficients.\newlineY=12x+9Y = 12x + 9

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