Question 1

what is the y- coordinate of the y- intercept of the line that passes through the points (-4,-4) and (4,8)

Question 2

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -4 &,& -4~) % (c,d) &&(~ 4 &,& 8~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-4)}{4-(-4)}\implies \cfrac{8+4}{4+4}\implies \cfrac{12}{8}\implies \cfrac{3}{2}$

$\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}y-(-4)=\cfrac{3}{2}[x-(-4)] \\\\\\ y+4=\cfrac{3}{2}(x+4)\implies y+4=\cfrac{3}{2}x+6\implies y=\stackrel{slope}{\cfrac{3}{2}}x\stackrel{y-intercept}{+2}$

notice the slope-intercept form, that's the y-coordinate.

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