How do you graph #h(x) = -1/4x+5#?

1 Answer
Daksh S.
Apr 4, 2017

Spot 2 points on a graph and draw a line joining those points.

Explanation:

Alright, so first things first, let's compare this with the standard equation of a line: #y=mx+c#

Here, #m=-1/5# and #c=5#
So we have:
1. #m# (i.e. slope of the line) is negative. So this line will look like a downhill slope

  1. #c# (i.e. y intercept) is positive. So this line will contain the point (0,5) and it will be in the first quadrant as well.

Okay, so we already have our first point, #(0,5)#

Now pick a simple integer (preferably a multiple of 4 because x is divided by 4 in the equation) like #8# and put #x=8# in the function, and get the value of #y#.
#y=-1/4(8) + 5#

#y=-2+5#

#y=3#

So another point is #(8,3)#

Now join #(0,5)# and #(8,3)# and extend this line segment in both directions to get the desired line.

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