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

1 Answer
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.