How do you graph the line #2y = 6 - 5x#?

1 Answer
Mar 22, 2016

Answer:

Please follow the process as given below.

Explanation:

The equation #2y=6-5x# is easy to reduce it slope intercept form of equation, which is #y=mx+c#, where #m# is the slope of line and #c# is its intercept on #y# axis.

The equation can be written as #y=-5/2x+3# and as such #+3# is the intercept on #y# axis and hence the point through which it passes is #(0,3)#.

Le us also see value of #y#

when #x=-10#, then #y=-5/2xx-10+3=28# and

when #x=10#, then #y=-5/2xx10+3=-22#

Hence line also passes through #(-10,28)# and #(10,-22)#.

Joining the three points #(0,3)#, #(-10,28)# and #(10,-22)# gives us the line #2y=6-5x#.

Although one can draw a line using just two points, it may be better to identify three points in the beginning, as any error will show as the three noncollinear will show up.

graph{2y=6-5x [-10, 10, -30, 30]}