Subjects algebra

Line Transformation 2448Cc

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1. The problem asks to identify the slope and y-intercept of the line transformed from $y = x$ to $y = 2x + 3$. 2. Recall the slope-intercept form of a line is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. For the original line $y = x$, the slope $m = 1$ and the y-intercept $b = 0$. 4. For the new line $y = 2x + 3$, the slope $m = 2$ and the y-intercept $b = 3$. 5. The slope changed from 1 to 2, so the slope is 2. 6. The line is shifted vertically by 3 units because the y-intercept changed from 0 to 3. Final answer: The slope is 2, and the line is shifted up by 3 units.
y = xy = 2x + 3