An arrow is shot vertically upward at a rate of 230 feet per second. Use the projectile formula h = −16t2 + v0t to determine at
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the equation of a line perpendicular to and passes through the point (-6,8) is
Step-by-step explanation:
We need to write equation of line perpendicular to and passes through the point (-6,8)
Since the line is in slope-inetercept form
the slope of line m = 0.25
As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1
So, slope will be -1/0.25 = -4
Now, finding y-intercept.
So, value of y-intercept b = 30
Now the equation of the required line having slope m= -4 and b =30 will be:
So, the equation of a line perpendicular to and passes through the point (-6,8) is
Keywords: Equation of line, slope-intercept form
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The equation is
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be
=
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
The slope is =
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes: