x = 3 and y = 2 so the lines intersect at the point (3, 2)
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
-6
When x = -2 then y = 4 which is the common point of intersection of the two equations.
y = 3/4 x + 2y = -1/4 x + 4Equalize the 2 equations of the 2 lines & solve for x :3/4 x + 2 = -1/4 x + 43/4 x + 1/4 x = 4 - 24/4 x = 2x = 2Find y by substituting the value of x in any of the 2 equations:y = 3/4 x + 2y = 3/4 (2) + 2y = 3/2 + 2y = 7/2 = 3.5---> The common point where the two lines meet is (2 , 3.5)
No, it is not. The point is not on the second line.
The point (4, 5) is.
x = 3 and y = 2 so the lines intersect at the point (3, 2)
If two lines have angles theta1 and theta2 relative to some third arbitrary line, then the angle between those two lines is theta1 minus theta2. The normal of a line at a point is a line that is 90 degrees from the line going through that point, so the angle between a line and its normal is 90 degrees. As a result, the angle between the two normals of those lines is (theta1 plus 90) minus (theta2 plus 90), which is the same as theta1 minus theta2 because the two plus 90's cancel each other.
There are two equations in the question, not one. They are the equations of intersected lines, and their point of intersection is their common solution.
-6
x + y = 6x + y = 2These two equations have no common point (solution).If we graph both equations, we'll find that each one is a straight line.The lines are parallel, and have no intersection point.
When x = -2 then y = 4 which is the common point of intersection of the two equations.
The lines are perpendicular, and intersect at the point (1.35, 3.55) .
By a process of elimination and substitution the lines intersect at: (4, -7)
y = 3/4 x + 2y = -1/4 x + 4Equalize the 2 equations of the 2 lines & solve for x :3/4 x + 2 = -1/4 x + 43/4 x + 1/4 x = 4 - 24/4 x = 2x = 2Find y by substituting the value of x in any of the 2 equations:y = 3/4 x + 2y = 3/4 (2) + 2y = 3/2 + 2y = 7/2 = 3.5---> The common point where the two lines meet is (2 , 3.5)
If there is no common factor, as in this case, you just have to multiply all the factors together to get the common denominator.