Final answer:
The graph of the line containing the point P(-2,0) and having a slope of 3 is a straight line that passes through P(-2,0) and has a positive slope.
Step-by-step explanation:
To graph the line containing the point P(-2,0) and having a slope of m=3, we can follow these steps:
- 1. Plot the point P(-2,0) on a coordinate plane. This point represents one of the points on the line.
- 2. Since the slope (m) is equal to 3, we can use this information to find another point on the line. To do this, we can use the slope-intercept form of a line: y = mx + b.
- 3. Substitute the values of the point P(-2,0) into the equation: 0 = 3(-2) + b. Simplifying this equation gives us: 0 = -6 + b.
- 4. Solve for b by isolating the variable: b = 6.
- 5. Now that we have the slope (m = 3) and the y-intercept (b = 6), we can write the equation of the line: y = 3x + 6.
- 6. Using the equation y = 3x + 6, plot additional points on the line by selecting various x-values and calculating the corresponding y-values. Connect these points to create a straight line.