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Ruifeng Xie · Answer 1 · 2018-09-19T03:01:10+0000

parallel lines have the same slope, thus if that line is parallel to the one above, it must have the same slope... .what is it anyway? let's check

$\bf y=\stackrel{slope}{\cfrac{1}{2}}x\stackrel{y-intercept}{-4}\impliedby \textit{slope-intercept form}$

so, we're really looking the, for the equation of a line whose slope is 1/2, and runs through 4,5.

$\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ % (a,b) &&(~{{ 4}} &,&{{ 5}}~) \end{array} \\\\\\ % slope = m slope = {{ m}}\implies \cfrac{1}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{1}{2}(x-4) \\\\\\ y-5=\cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x-2+5\implies =\cfrac{1}{2}x+3$

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