Question

How do you graph the function `y=-x+9`?

Answer 1

See a solution process below:

Explanation:

Substitute some points for `x` to obtain corresponding values for `y`. Such as:

`x = -10` Then `y = - -10 + 9 = 10 + 9 = 19` gives: `(-10, 19)`

`x = -5` Then `y = - -5 + 9 = 5 + 9 = 14` gives: `(-5, 14)`

`x = 0` Then `y = -0 + 9 = 9` gives: `(0, 9)`

`x = 5` Then `y = -5 + 9 = 4` gives: `(5, 4)`

`x = 10` Then `y = -10 + 9 = -1` gives: `(10, -1)`

Now, plot the points and draw a line through the points:

graph{(y+x- 9)((x+10)^2+(y-19)^2-1)((x+5)^2+(y-14)^2-1)((x+0)^2+(y-9)^2-1)((x-5)^2+(y-4)^2-1)((x-10)^2+(y+1)^2-1)=0 [-40, 40, -20, 20]}