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telo118 [61]
3 years ago
12

Which line is parallel to the line that passes through the points (2, –5) and (–4, 1)? a. y=-x-5

Mathematics
2 answers:
Svetach [21]3 years ago
8 0
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ -5}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-5)}{-4-2}
\\\\\\
m\implies \cfrac{1+5}{-6}\implies \cfrac{6}{-6}\implies -1

now, a line parallel to one that has those two points, will also have the same slope, this line has a slope of -1

let's take a peek at \bf \begin{array}{llll}
y=&-x&-5\\
y=&-1x&-5\\
&\quad \uparrow &\quad \uparrow \\
&slope&y-intercept
\end{array}

notice the slope of that one... recall your y = mx+b, slope-intercept form
ratelena [41]3 years ago
6 0
The answer is D
the answer is D
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