Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points Up

per P equals (-1, 3) and Upper Q equals (1, 0)

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -1}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 1}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{1-(-1)}\implies \cfrac{0-3}{1+1}
\\\\\\
\cfrac{-3}{2}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-\cfrac{3}{2}[x-(-1)]
\\\\\\
y-3=-\cfrac{3}{2}(x+1)\implies y-3=-\cfrac{3}{2}x-\cfrac{3}{2}\implies y=-\cfrac{3}{2}x-\cfrac{3}{2}+3
\\\\\\
y=-\cfrac{3}{2}x+\cfrac{3}{2}$

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