Which equation in standard form has a graph that passes through the point (3,-9) and has a slope of 5/3?
2 answers:
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9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
<h3>What is an Angle Bisector ?</h3>The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2 = 3.46 cm from O
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