Question

Find the y-intercept of the line: 2x + 4y =8

Answer 1

4y=8–2x

divide both sides by coefficient of y

4y/4=8–2x/4

y=8–2x/4,

y=–2x+8/4

according to intercept:y=mx+c

y=–2/4x+8/4

Answer 2

To find the y-intercept of the line given by the equation
`\( 2x + 4y = 8 \)`, we set
`\( x = 0 \)` and solve for
`\( y \)`:

`$\[\begin{align*}2(0) + 4y &= 8 \\0 + 4y &= 8 \\4y &= 8 \\y &= \boxed{2}\end{align*}\]$`

Thus, the y-intercept of the line is
`\( \boxed{2} \)`.