Question

How do you graph `1- \frac { 1} { 5} y = - \frac { 1} { 20} x`?

Answer 1

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For `y = 0`

`1 - (1/5 * 0) = -1/20x`

`1 - 0 = -1/20x`

`1 = -1/20x`

`color(red)(-20) xx 1 = color(red)(-20) xx -1/20x`

`-20 = x`

`x = -20` or `(-20, 0)`

First Point: For `y = 5`

`1 - (1/5 * 5) = -1/20x`

`1 - 1 = -1/20x`

`0 = -1/20x`

`color(red)(-20) xx 0 = color(red)(-20) xx -1/20x`

`0 = x`

`x = 0` or `(0, 5)`

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-5)^2-0.25)((x+20)^2+y^2-0.25)=0 [-30, 30, -15, 15]}

Now, we can draw a straight line through the two points to graph the line:

graph{(1 - (1/5)y + (1/20)x)(x^2+(y-5)^2-0.25)((x+20)^2+y^2-0.25)=0 [-30, 30, -15, 15]}