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

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: $y = m x + c$

Here, $m = - \frac{1}{5}$ 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, $\left(0 , 5\right)$

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 $y$.
$y = - \frac{1}{4} \left(8\right) + 5$

$y = - 2 + 5$

$y = 3$

So another point is $\left(8 , 3\right)$

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