Respuesta :
If the line y = 4x - 5 is dilated from the point (2,3) by a scale factor of 4, the equation of the new line is:
y = 4x - 20
The given line is represented by the equation:
y = 4x - 5
The given line y = 4x - 5 is dilated from the point (2, 3)
Let the center of dilation be (0, 0)
The distance from the center of dilation to the given point = (2-0, 3-0)
The distance from the center of dilation to the given point = (2, 3)
Multiply by the scale factor to get the distance from the origin
The distance from the origin = (4x2, 4x3) = (8, 12)
y - y₁ = m(x - x₁)
y - 12 = 4(x - 8)
y - 12 = 4x - 32
y = 4x - 32 + 12
y = 4x - 20
The equation of the new line is:
y = 4x - 20
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