Question

How do you find the x and y intercepts for `y = -2x + 3`?

Answer 1

see a step solution process below;

Explanation:

`y = - 2x + 3`

Since the origin point of intersection is always zero, hence we would use its origin point to locate their intercepts.

To find the intercept of `x`, let `y = 0`

`y = -2x + 3`, where `y = 0`

`0 = -2x + 3`

`2x = 3`

`x = 3/2 = 1.5`

Similarly, to find the intercept of `y`, let `x = 0`

`y = -2x + 3`, where `x = 0`

`y = -2(0) + 3`

`y = 0 + 3`

`y = 3`

Hence the `x and y` intercepts of the equation are `1.5 and 3` respectively..

Answer 2

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

Explanation:

`"to find the intercepts"`

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