To find the x-intercept, set y = 0 and solve for x:
(-1/3)x - (1/3)(0) = 1
(-1/3)x = 1
x = -3
So the x-intercept is (-3, 0).
Step 2: Find the y-intercept
To find the y-intercept, set x = 0 and solve for y:
(-1/3)(0) - (1/3)y = 1
-(1/3)y = 1
y = -3
So the y-intercept is (0, -3).
Step 3: Plot the intercepts and draw the line
Plot the points (-3, 0) and (0, -3) on the coordinate plane. Draw a straight line through these two points.
Final Answer:
The graph of the line is determined by the two points (-3, 0) and (0, -3). Plot these points on the graph and draw a straight line that passes through both.