graph the line with the equation $y = -\\frac{1}{3}x - 2$.
graph the line with the equation $y = -\\frac{1}{3}x - 2$.
Answer
Answer:
To graph the line (y = -\frac{1}{3}x - 2), we can use the slope - intercept form (y=mx + b), where (m) is the slope and (b) is the (y) - intercept.
Explanation:
Step1: Identify the (y) - intercept
The (y) - intercept (b=-2). So, the line passes through the point ((0,-2)). Plot this point on the coordinate plane.
Step2: Use the slope to find another point
The slope (m =-\frac{1}{3}). The slope (m=\frac{\text{rise}}{\text{run}}). Here, (\text{rise}=- 1) and (\text{run}=3). Starting from the point ((0,-2)), move (1) unit down (because the rise is (-1)) and (3) units to the right (because the run is (3)). We get the point ((3,-3)).
Step3: Draw the line
Connect the points ((0,-2)) and ((3,-3)) with a straight line. Extend the line in both directions. This line represents the equation (y =-\frac{1}{3}x - 2).