# How do you graph #x+5y=5# using intercepts?

##### 4 Answers

Given function

The above line has x-intercept

y-intercept

i,e, the line intersects the coordinate axes at the points

Now, specify the points

Please see below.

#### Explanation:

First find the

then find

Joining two points gives us the graph of

graph{(x+5y-5)(x^2+(y-1)^2-0.01)((x-5)^2+y^2-0.01)=0 [-3.42, 6.58, -1.42, 3.58]}

Use two arbitrary values for

Now you know one of the intercepts is

The second intercept is

Using these two intercepts, you can map out an x-axis and y-axis on some graph paper; draw these two intercepts and connect a line through them.

As below

#### Explanation:

Y-intercept = 1#

X-intercept when y = 0

X-intercept = 5#

Two points are (5, 0), (0, 1)

graph{-x/5 + 1 [-10, 10, -5, 5]}