Question

HELP! Finding slope. Questions A B and C please I’ll give “brainlyst” and 5 stars

Answer 1

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-14}{14-10}\implies \cfrac{-2}{4}\implies -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-14=-\cfrac{1}{2}(x-10) \\\\[-0.35em] ~\dotfill$

$\bf y-14=-\cfrac{1}{2}x+5\implies y=-\cfrac{1}{2}x+19\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

now, the x-axis has years after 1987, so 2007 is 20 years after 1987, 1987 + 20 = 2007, therefore x = 20, what is y?............$\bf y=-\cfrac{1}{2}(20)+19$.

and you know how much that is.