How do you graph #5x + y = 4 # by plotting points?

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Answer 1 · 2018-07-28T03:52:56

See explanation below

The given equation of straight line:

#5x+y=4#

The above line intersects the x-axis where #y=0# hence

#5x+0=4#

#x=4/5#

hence the point of intersection of line with the x-axis is #(4/5, 0)#

Similarly, the above line intersects the y-axis where #x=0# hence

#5(0)+y=4#

#y=4#

hence the point of intersection of line with the x-axis is #(0, 4)#

Now, specify both the intersection points #(4/5, 0)# & #(0, 4)# on x & y axes then join them by a straight line to get desired graph