Graph the line with the equation y = 1/2x – 1.
What is the equation of the line?
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Graph the line with the equation y = 1/2x – 1.
What is the equation of the line?
To graph the line with the equation ( y = frac{1}{2}x – 1 ), you can follow these steps:
1. Identify the slope and y-intercept:
– The slope (( m )) is ( frac{1}{2} ) and the y-intercept (( b )) is ( -1 ). This means the line crosses the y-axis at the point ( (0, -1) ).
2. Plot the y-intercept:
– Start by plotting the point ( (0, -1) ) on the graph.
3. Use the slope:
– The slope of ( frac{1}{2} ) means that for every 2 units you move to the right (positive x-direction), you move up 1 unit (positive y-direction).
– From the y-intercept ( (0, -1) ), move 2 units right to ( (2, -1) ), and then move up 1 unit to ( (2, 0) ).
4. Draw the line:
– Connect these points with a straight line, extending it in both directions.
This line represents the equation ( y = frac{1}{2}x – 1 ). If you have any specific points or further assistance needed with graphing, feel free to ask!