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menagirl71953
09.01.2020 •
Mathematics
3. find an equation of a line through (0, −7) and parallel to the line y = 1 / 2 x + 5.
a. what is the slope of any line parallel to the given line? explain your answer.
b. write an equation of a line through the point and parallel to the line.
c. if a line is perpendicular to y = 1 / 2 x + 5, will it be perpendicular to x − 2y = 14? explain.
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Ответ:
the slope of any line parallel to the given line is![\frac{1}{2}](/tpl/images/0447/9451/9cdae.png)
perpendicular
Step-by-step explanation:
line![y = \frac{1}{2}x + 5](/tpl/images/0447/9451/2433f.png)
Slope of the given line is 1/2
Slope of parallel lines are same
the slope of any line parallel to the given line is![\frac{1}{2}](/tpl/images/0447/9451/9cdae.png)
Equation of a line is y=mx+b
m=1/2 (x1,y1) is (0.-7)
Subtract x from both sides
Divide both sides by -2
slope of both lines are same so they are parallel.
So the line is perpendicular to![x - 2y = 14](/tpl/images/0447/9451/787b4.png)
Ответ:
Hope that helps!