Question

How do you graph the equation `y=3/4x-2`?

Answer 1

`"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=0toy=0-2rArry=-2larrcolor(red)"y-intercept"`

`y=0to3/4x-2=0rArr3/4x=2rArrx=8/3`

`"choosing another value of x since "8/3" is awkward"`

`x=4toy=3-2=1`

`"plot the points "(0,-2)" and "(4,1)`

`"draw a straight line through them for graph"`
graph{(y-3/4x+2)((x-0)^2+(y+2)^2-0.04)((x-4)^2+(x-1)^2-0.04)=0 [-12.66, 12.65, -6.33, 6.33]}