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.

Related questions
Impact of this question
1304 views around the world
You can reuse this answer
Creative Commons License