Question

Directions - Find the x and y-intercepts for each Standard Form equation. Write your answer as an ordered pair.2x + 4y = 8x - intercept =y - intercept =

Answer 1

We have the following:

`2x+4y=8`

solving for y:

`\begin{gathered} (2)/(4)x+(4)/(4)y=(8)/(4) \\ (1)/(2)x+y=2 \\ y=-(1)/(2)x+2 \end{gathered}`

now, x- intercept is when y is equal to 0, therefore

`\begin{gathered} 0=-(1)/(2)x+2 \\ (1)/(2)x=2 \\ x=2\cdot2 \\ x=4 \end{gathered}`

y-intercept is when x is equal to 0, therefore

`\begin{gathered} y=-(1)/(2)\cdot0+2 \\ y=2 \end{gathered}`

The answer is:

x - intercept = (4, 0)

y - intercept = (0, 2)