Question

How do you graph `y=x-10`?

Answer 1

graph{y = x-10 [-10, 10, -5, 5]}

Explanation:

The gradient is the coefficient of the x in the equation, so `m = 1`

The c value is the y intercept, which is `c=-10`

Therefore it's a line going through `(0,-10)` with a gradient of 1

Answer 2

Start at (0 -10) make a point go up one and to the right 1 make a second point at ( 1 -9) connect the two points.

Explanation:

The equation is the y intercept form
`y = mx + b`
where
m = the slope think mountain ski slope.
b = the y intercept think beginning.

m in this equation is 1/1
b in this equation is -10

so start at b the y intercept of ( 0, -10)
This is the first point.
Then use the slope y =1 so go up 1
x= 1 so one to the right

`x = 0 +1 = 1`
`y = -10 + 1 = -9`

The second point is then ( 1,-9)

Graph the two points and connect them to form the line.

Answer 3

`"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=0-10=-10larrcolor(red)"y-intercept"`

`y=0rArrx-10=0rArrx=10larrcolor(red)"x-intercept"`

`"plot the points "(0,10)" and "(10,0)`

`"draw a straight line through them for graph"`
graph{(y-x+10)((x-0)^2+(y+10)^2-0.04)((x-10)^2+(y-0)^2-0.04)=0 [-20, 20, -10, 10]}