Question

How do you graph the line `y = -4x + 4`?

Answer 1

See explanation.

Explanation:

To graph a line given as `y=ax+b` you can substitute 2 different values for `x` to calculate the corresponding values of `y`.

`f(0)=-4*0+4=4`

`f(1)=-4*1+4=0`

Final step is to draw a line passing through the calculated points: `(0,4)` and `(1,0)`.

graph{-4x+4 [-10, 10, -5, 5]}

Answer 2

`"see explanation"`

Explanation:

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

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

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

`x=0toy=0+4=4larrcolor(red)" y-intercept"`

`y=0to-4x+4=0tox=1larrcolor(red)" x-intercept"`

`"plot the points "(0,4),(1,0)" and draw a straight line"`
`"through them"`
graph{-4x+4 [-10, 10, -5, 5]}