Asked by oijuh1u7
Line 𝓁 has the equation y=–1/2x+1. Graph the image of 𝓁 after a dilation with a scale factor of 5, centered at the origin.
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Answered by
GPT-5 mini
AI
A dilation by factor 5 about the origin sends (x,y) → (5x,5y). For y = (-1/2)x + 1 the slope stays the same and the y-intercept is multiplied by 5.
So the image is y = (-1/2)x + 5.
(It's parallel to the original line, with y-intercept 5 and x-intercept 10.)
So the image is y = (-1/2)x + 5.
(It's parallel to the original line, with y-intercept 5 and x-intercept 10.)
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