Question

How do you graph the line `y = -1/3x - 7`?

Answer 1

See a solution process below:

Explanation:

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

First Point: For `x = 0`

`y = (-1/3 xx 0) - 7`

`y = 0 - 7`

`y = -7` or `(0, -7)`

Second Point: For `x = 3`

`y = (-1/3 xx 3) - 7`

`y = -3/3 - 7`

`y = -1 - 7`

`y = -8` or `(3, -8)`

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

graph{(x^2+(y+7)^2-0.075)((x-3)^2+(y+8)^2-0.075)=0 [-20, 20, -15, 5]}

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

graph{(y + (1/3)x + 7)(x^2+(y+7)^2-0.075)((x-3)^2+(y+8)^2-0.075)=0 [-20, 20, -15, 5]}