Final answer:
The equation of the line that passes through the point (3,0) with slope -2 is y = -2x + 6. To graph the line, plot the given point and use the slope to find additional points on the line.
Step-by-step explanation:
The equation of a line can be written in the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is given as -2 and the point is (3,0).
First, substitute the values into the equation: y = -2x + b. Since the line passes through the point (3,0), we can substitute these values as well: 0 = -2(3) + b.
Solving for b, we get: b = 6. Therefore, the equation of the line is: y = -2x + 6.
To graph the line, plot the given point (3,0) and use the slope to find additional points on the line. Since the slope is -2, we can use the rise over run method. Start at the point (3,0) and go down 2 units on the y-axis and right 1 unit on the x-axis to find another point. Connect the two points to graph the line.