which is the correct way to graph the line y=-x-2?

Question

a. plot a point at (0,-2) . Use the slope of -1 to plot another point. Draw a line through the points.

B. plot a point at (-1,0) . Use the slope of 2 to plot another point. Draw a line through the points.

C. Plot a pt at (-1.0) use the slope of -2 to plot another pt draw a line through the points.

D. Plot a pt at (q,-2) use the slope of 1 to plot another pt. Draw a line through the points.

Answer 1

This equation of a line is in slope-intercept form, that is:   y-mx + b

   where:

      m is the slope

      b is the y-intercept (the y value when x=0)

 

The equation has a slope of  -1.

The y-intercept is at the point (0,-2)

 

Looks like Ans. D      [ with pt (0,-2) ]

 

p.s., Often, the easiest second point is the x-intercept (the value of x when y=0).  Here, it is the pt  (-2) [check it out!]