Question

Question will you be in the picture

Answer 1

Consider that the equation of line with slope 'm' and y-intercept 'c', is given by,

`y=mx+c`

This is referred as the slope-intercept form of equation of line.

Now, consider the given equation,

`-2x+4y=8`

Convert the equation into slope-intercept form,

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

Comparing the terms with slope-intercept form,

`\begin{gathered} \text{Slope, m}=(1)/(2) \\ y-\text{intercept, c}=2 \end{gathered}`

Therefore, option d is the correct choice.