Mathematics, 07.12.2019 20:31 JustinLaucirica
What is the y-intercept of the line with a slope of β 1/4 that passes through the point (β2, β9/2 )?
Answers: 3
![\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-\frac{9}{2}})~\hspace{10em} slope = m\implies -\cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\left( -\cfrac{9}{2} \right)=-\cfrac{1}{4}[x-(-2)] \\\\\\ y+\cfrac{9}{2}=-\cfrac{1}{4}(x+2)\implies y+\cfrac{9}{2}=-\cfrac{1}{4}x-\cfrac{1}{2}\implies y=-\cfrac{1}{4}x-\cfrac{1}{2}-\cfrac{9}{2}](/tpl/images/0408/2723/81dc7.png)
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What is the y-intercept of the line with a slope of β 1/4 that passes through the point (β2, β9/2 )?...
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