Question

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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,

$\begin{gathered} 4y=2x+8 \\ y=\frac{2}{4}x+\frac{8}{4} \\ y=\frac{1}{2}x+2 \end{gathered}$

Comparing the terms with slope-intercept form,

$\begin{gathered} \text{Slope, m}=\frac{1}{2} \\ y-\text{intercept, c}=2 \end{gathered}$

Therefore, option d is the correct choice.