Question

How do you graph the function `y=-x+6`?

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 = 6`

`y = -6 + 6`

`y = 0` or `(6, 0)`

Second Point: For `y = 4`

`y = -4 + 6`

`y = 2` or `(4, 2)`

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

graph{((x-6)^2+y^2-0.035)((x-4)^2+(y-2)^2-0.035)=0 [-10, 10, -5, 5]}

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

graph{(y+x-6)((x-6)^2+y^2-0.035)((x-4)^2+(y-2)^2-0.035)=0 [-10, 10, -5, 5]}

Answer 2

`"see explanation"`

Explanation:

`"one way is to find the intercepts, that is where the graph"`
`"crosses the x and y axes"`

`• " let x = 0, in the equation for y-intercept"`

`• " let y = 0, in the equation for x-intercept"`

`x=0rArry=6larrcolor(red)"y-intercept"`

`y=0rArr-x+6=0rArrx=6larrcolor(red)"x-intercept"`

`"plot the points "(0,6)" and "(6,0)`

`"draw a straight line through them for graph"`
graph{(y+x-6)((x-0)^2+(y-6)^2-0.04)((x-6)^2+(y-0)^2-0.04)=0 [-15.79, 15.81, -7.9, 7.9]}