Final answer:
To find the equation of the line 4y - 2x = 8 when dilated by a scale factor of 5 centered at the origin, use the equation y = kx, where k is the scale factor. Distribute the scale factor to simplify the equation.
Step-by-step explanation:
To find the equation of the line 4y - 2x = 8 when dilated by a scale factor of 5 centered at the origin, you need to apply the dilation transformation. The dilation of a line by a scale factor k centered at the origin is given by the equation y = kx. In this case, the equation of the dilated line would be y = 5*(4y - 2x).
Start by distributing the scale factor of 5: 5*(4y) - 5*(2x) = 20y - 10x. Simplify the equation to get the final answer: 20y - 10x = 0.