Answer:
the x-intercept is (-2, 0)
Step-by-step explanation:
graph the line with a y-intercept of -2 and a slope of -1/3.
Plot the y-intercept (it's just a point: (0, -2) )
As we move from left to right, increasing x, the graph moves downward, because the slope is negative (-1/3). Starting with your pencil point on the y-intercept (0, -2), move 3 units to the right and then 1 unit down. Draw a straight line through the y-intercept (0, -2) and this new point (3, -5).
The given line is y = (-1/3)x - 2. To find the x-intercept, set y = 0 and solve the resulting equation for x:
0 = (-1/3)x - 2, or (after multiplying all terms by 3) -1x - 2 = 0
What is the x-intercept of the line ? Solve this -1x - 2 = 0 for x:
x = -2
Thus, the x-intercept is (-2, 0)
