How do you graph #y =-3/7x-1/7# using the slope and intercept?

1 Answer
Eric C.
Jul 10, 2016

graph{-3/7x - 1/7 [-10, 10, -5, 5]}

Explanation:

In this equation the #-1/7# is the #y#-intercept. since when #x = 0# # y = 1/7#, so plot a point at #(0,1/7)#.

The coefficient of #x# is the gradient / slope of the line, in this case the gradient is #-3/7#, to plot a second point on the graph move along the #x#-axis by #3# then go along the #y#-axis by #-7#, the negative means go down on the #y#-axis. So plot a point at #(3,-7)#.

Now that we have a point at #(0,1/7)# and #(3,-7)#, connect the points drawing a straight line.

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