How do you graph
y=1/2x+1
y=-3x+8
To graph the equations y = (1/2)x + 1 and y = -3x + 8, follow these steps:
1. Create a coordinate system: Draw the x-axis and y-axis on a piece of graph paper or using a graphing tool.
2. Plot points for the first equation (y = (1/2)x + 1):
- Choose different values of x and calculate the corresponding y values using the equation.
- For example, when x = 0, y = (1/2)(0) + 1 = 1. So, plot the point (0, 1).
- Repeat this process for other values of x, such as x = -2, -4, 2, 4, etc.
3. Draw a line through the plotted points: Once you have multiple points, use a straightedge or ruler to draw a line that connects the points. Make sure the line extends beyond the points in both directions.
4. Plot points for the second equation (y = -3x + 8): Follow the same process as step 2 to plot points and calculate y values for different x values.
5. Draw a line through the plotted points: Connect the points with a straight line, extending it beyond the plotted points.
6. Analyze the intersection point: The point where the two lines intersect is the solution to the system of equations. The x-coordinate and y-coordinate of the intersection point represent the values that satisfy both equations simultaneously.
By following these steps, you can graph the equations y = (1/2)x + 1 and y = -3x + 8 and find their intersection point.