Question

What are the intercepts for `y=2x+3`?

Answer 1

`"x-intercept "=-3/2," y-intercept "=3`

Explanation:

`"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+3=3larrcolor(red)"y-intercept"`

`y=0rArr2x+3=0rArrx=-3/2larrcolor(red)"x-intercept"`
graph{(y-2x-3)((x-0)^2+(y-3)^2-0.04)((x+3/2)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}