At the point of intersecting lines, the points are equal.
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The equation of the 1st line is Y=3x-7
The equation of the 2nd line is Y=-2x+3
Remember, at the intersecting points they are equal. So then:
3x-7=-2x+3 Now solve for x (get x by itself in the form of x=whatever)
3x-7=-2x+3
+2x +2x (What you do to one side of the equal sign you must do to the other)
____________
5x -7 = 3
+7 = +7
____________
5x = 10 now divide by 5 to remove the 5 from the x in 5x.
___ ___
5 5
x=2
Then you sub x=2 into any of the two equation. Lets use the first one:
Y=3x-7 becomes Y=3(2)-7
Y=6-7
Y=-1
So the intersecting point is (2,-1)
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The vertex of a triangle is the point where two or more sides of the triangle intersect. In the case of triangle TIF, the vertex would be the point where the sides TI and IF intersect. To determine the exact coordinates of the vertex, you would need the coordinates of points T, I, and F and then use the equations of the lines containing the sides to find their point of intersection.
The difference between interior lines and exterior lines are thatInterior lines: Are the lines that are in the inside of the shape or whatever you are trying to find the interior of.Exterior Lines: Are the lines that are outside of the shape or whatever you are trying to find the exterior of.
If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!
The answer is 9.499 m approx.
In simple terms, if you draw lines from each corner/vertex, to the middle of the opposite side, you will find the lines converge or meet at one point. That point is the centroid.