Write an equation of the line that passes through the points (-2,-2) and (0,5)

1 answer:

3 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&&(~ -2 &,& -2~) 
&&(~ 0 &,& 5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-2)}{0-(-2)}\implies \cfrac{5+2}{0+2}\implies \cfrac{7}{2}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=\cfrac{7}{2}[x-(-2)]
\\\\\\
y+2=\cfrac{7}{2}(x+2)\implies y+2=\cfrac{7}{2}x+7\implies y=\cfrac{7}{2}x+5$

You might be interested in

Perform the indicated operation. 10 3/7 + 19 5/9

DanielleElmas [232]

Given expression is

$10 \frac{3}{7} + 19 \frac{5}{9}$

Now convert mixed fraction as improper fraction as

$10 \frac{3}{7} + 19 \frac{5}{9} = \frac{10*7 + 3}{7} + \frac{19*9+5}{9}$
                                                         $= \frac{73}{7} + \frac{176}{9}$
                                                          $= \frac{73*9 + 176 * 7}{63}$
                                                         $= \frac{657 + 1232}{63} = \frac{1889}{63}$
Now we can convert $\frac{1889}{63 } = 29 \frac{62}{63}$

So the answer is $29 \frac{62}63}$