Wolfgirl2032
09.12.2019 •
Mathematics
The straight line p has the equation y= 2x-5
find an equation of the straight line perpendicular to p which passes through (-2,3)
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Ответ:
y=−x/2+2.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=2x−5.
The slope of the perpendicular line is negative inverse: m=−12.
So, the equation of the perpendicular line is y=−x/2+a.
To find a, we use the fact that the line should pass through the given point: 3=(−12)⋅(−2)+a.
Thus, a=2.
Therefore, the equation of the line is y=−x/2+2.
Ответ: