Graph the following equation.
y = x + 8
Graph the line containing the following intercept and ordered pair.
y-intercept: (0, 10)
Graph the following equation. y = x + 8 Graph the line containing the following intercept and ordered pair. y-intercept: (0, 10)
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To graph the equation ( y = x + 8 ), you can follow these steps:
1. Identify the y-intercept: The equation is in slope-intercept form ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. Here, the y-intercept is 8 (when ( x = 0 ), ( y = 8 )), so plot the point (0, 8) on the graph.
2. Find the slope: The slope ( m ) is 1, which means for every unit you move to the right on the x-axis (increase in ( x )), you move up one unit on the y-axis (increase in ( y )).
3. Plot a second point using the slope: From the point (0, 8), move 1 unit right (to ( x = 1 )) and 1 unit up (to ( y = 9 )). This gives you another point at (1, 9).
4. Draw the line: Connect the points (0, 8) and (1, 9) with a straight line extending in both directions.
Regarding the second part of your question, the y-intercept provided is (0, 10), which indicates a different line. If you need to graph that line, the process is similar:
1. **Plot the y-intercept