Question

How do you find x and y intercepts of `x+2y-8`?

Answer 1

`x=8" and "y=4`

Explanation:

`"this is the general equation of a straight line but should"`
`"be equal to zero"`

`•color(white)(x)Ax+By+C=0larrcolor(blue)"general form"`

`rArrx+2y-8=0`

`"to find the x and y intercepts "`

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

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

`x=0to0+2y=8rArry=4larrcolor(red)"y-intercept"`

`y=0tox+0=8rArrx=8larrcolor(red)"x-intercept"`
graph{y+1/2x-4=0 [-10, 10, -5, 5]}