For each equation in the table give the slope of the graph

Question

X=-6

Y=-6

Y=-6x

Answer 1

Hi Leslie:

 

When it comes to horizontal and vertical lines the slopes are

special cases as discussed below.

 

x = -6    undefined slope for a vertical line since

             m = (change in y)/(change in x).  x is

             always -6 so this is (change in y)/0 &

             dividing by zero is undefined.

 

y = -6    Slope = 0 for horizontal line.

             Since y never changes m = 0/(change in x)

 

y = -6x  Slope = -6

              This is same as y = -6x + 0

             This is in slope intercept form y = mx + b

             so it has slope m=-6 and y-intercept at (0,0)