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mote1985 [20]
3 years ago
6

write the standard form of the equation of the line described. through (-2,3), perpendicular to y=2/7x+5

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0
The general form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Here m = 2/7
To get to its perpendicular equation, first the slope should be negative reciprocal. So the perpendicular slope is m = -7/2
Given the point (-2,3), use the point-slope form equation, that is
y - y1 = m(x - x1)
Plug in
y - 3 = (-7/2)[x - (-2)]
y - 3 = (-7/2)x - 7
y = (-7/2)x - 7 + 3
y = (-7/2)x - 4
That is the equation required.
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Step-by-step explanation:

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There are a number of ways to look at this. I'll pick the easiest.

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