Create a problem using slope intercept form include a graph

Here's the graph of the line with the equation \( y = \frac{1}{2}x + 2 \). The red point marks the y-intercept at \( (0, 2) \), and the green point marks \( (2, 3) \), which lies on the line.

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Here are 5 related questions to deepen your understanding:

1. What is the slope of a line parallel to \( y = \frac{1}{2}x + 2 \)?
2. How would you find the equation of a line perpendicular to \( y = \frac{1}{2}x + 2 \)?
3. If the slope were negative, how would the graph change?
4. How do you determine the x-intercept of the line \( y = \frac{1}{2}x + 2 \)?
5. Can you find the equation of a line that passes through \( (4, -1) \) and has the same slope?

**Tip:** In slope-intercept form, the slope \( m \) controls the steepness and direction of the line, while the y-intercept \( b \) shows where it crosses the y-axis.

Learn how to graph a line using the slope-intercept form equation y = 1/2x + 2. This problem covers essential algebraic concepts, including graphing linear equations, identifying the slope and y-intercept, and understanding parallel and perpendicular lines. Suitable for students in Grades 7-10.

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