Answer:
<em>y=-x+18</em>
Step-by-step explanation:
<u>Equation of a line</u>
A line can be completely defined by two points. Suppose we know the line passes through points A(x1,y1) and B(x2,y2).
The equation for a line can be written as:
Where m is the slope and b is the y-intercept. Both values can be determined by using the coordinates of the given points.
First, determine the slope with the equation:
The points are: A(15,3) B(3,15)
The equation of the line can be written as:
Now, use any point to determine the value of b. Substitute (15,3):
Solve for b:
b=18
The equation of the line is
y=-x+18
The slope is -1 and the y-intercept is 18.
The required expression is ~
I hope it helps ~
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer:
13
Step-by-step explanation:
you needed to do alt of things with your math but yes its 13
The
<u>correct diagram</u> is attached.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.