Question

Find the value of the y-intercept of the line whose equation is 10x + 9y = 45. 2/9 5 9/2

Answer 1

`10x+9y=45\implies 9y=-10x+45\implies y=\cfrac{-10x+45}{9} \\\\\\ y=-\cfrac{10x}{9}+\cfrac{45}{9}\implies \underset{y-intercept}{y=-\cfrac{10}{9}x\underset{\uparrow }{+5}}\qquad \impliedby \begin{array}ll \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}`