Question

Use the interactive to graph the line with a y-intercept of -2 and a slope of -1/3. What is the x-intercept of the line ?

Answer 1

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)