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marin [14]
3 years ago
11

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

Mathematics
1 answer:
erastova [34]3 years ago
3 0
\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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