Adilation centered at the origin is applied to the line y = 3x + 5. what is true about the image of the line?

If a dilation centered at the origin is applied to the line y = 3x + 5, then the resulting dilation will produce an image of the same slope as the original line but of different y-intercept. If the dilation is greater than 1, the image will move further away from the origin. If the dilation is less than 1, the opposite will be true.

the first phase of the government’s plan for settlement was building the transcontinental railroad. the railroad provided a way to bring settlers and manufactured goods west and ship their agricultural and mining produce east. the transcontinental railroad was an essential artery for rapid development of the frontier.

the second phase of the government’s plan was a liberal land distribution policy that made it possible for many people to homestead. with these two key elements—transportation and cheap land—the government rapidly achieved its goal of persuading people to move west, settle on farms, and push back the frontier.

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