16. Graph the equation: $$ y=2 x-1 $$,

Question

UpStudy AI · Accepted Answer

To graph the equation $$ y = 2x - 1 $$, we can follow these steps:

1. **Identify the slope and y-intercept**: The equation is in the slope-intercept form $$ y = mx + b $$, where $$ m $$ is the slope and $$ b $$ is the y-intercept. Here, the slope $$ m = 2 $$ and the y-intercept $$ b = -1 $$.

2. **Plot the y-intercept**: Start by plotting the point where the line crosses the y-axis. This occurs at $$ (0, -1) $$.

3. **Use the slope to find another point**: The slope of 2 means that for every 1 unit you move to the right (positive direction on the x-axis), you move up 2 units (positive direction on the y-axis). From the point $$ (0, -1) $$:
   - Move 1 unit to the right to $$ (1, -1) $$.
   - Move up 2 units to $$ (1, 1) $$.
   - Plot the point $$ (1, 1) $$.

4. **Draw the line**: Connect the points $$ (0, -1) $$ and $$ (1, 1) $$ with a straight line. Extend the line in both directions.

5. **Label the axes**: Make sure to label the x-axis and y-axis for clarity.

The graph of the equation $$ y = 2x - 1 $$ is a straight line that passes through the points $$ (0, -1) $$ and $$ (1, 1) $$, with a slope of 2.

If you need a visual representation, you can use graphing software or graphing calculators to plot it accurately.
Plot the points (0, -1) and (1, 1) and draw a line through them. The slope is 2.

Graph the equation: ,

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions