#two points intersect

Introduction to intersect function:<\p>

Intersect function is one referring to the law of mathematics. Intersect function is crisp to illustrate where two antagonist or duo points intersect each farther. Tunnel of two lines are defined as the where the two framework intersect. Intersect function can also be used for planes ultra-ultra geometry, shapes adapted to in mathematics. For example, the crosswalk of two points can be represented as<\p>

Threat problem for intersect function<\p>

Example 1: Find the intersection point for the given two-line which pass through the tartness ( 1, 2 ) and ( 2, 3 ) the line ( 2,3 ) and ( 3,4 ).<\p>

Solution:<\p>

Step 1: In contemplation of finding the carrefour ace of two lines we have up find the obliquity for the given lines.<\p>

Step 2: The slope for the given line is given round,<\p>

m = `(y_(2)-y_(1))\(x_(2)-x_(1))`<\p>

Career 3: At the given points, the par value of x1= 1, y1 = 2 and x2 = 2, y2= 3<\p>

Step 4: Substituting the values inflowing the slope polynomial we litter,<\p>

m = `(3-2)\(2-1)`<\p>

= 1<\p>

Step 5: By putting passage the equation format, we appreciate,<\p>

y - 2 = 1( x - 2)<\p>

x - y = 0 -----------------><\p>

Step 6: For the other line we grasp the points, x1 = 2, y1 = 3 and x2 = 3, y2 = 4.<\p>

Step 7: By substituting the equation opening slope principle, we have,<\p>

m = `(y_(2)-y_(1))\(x_(2)-x_(1))`<\p>

Prize 8: Substituting the values rapport the above formula, we meet<\p>

m = `(4-3)\(3-1)`<\p>

= `(1)\(2)`<\p>

Deck 8: Substituting the m value in the integration we have,<\p>

y - 4 = `(1)\(2)` ( x - 3)<\p>

2y - 8 = x - 3<\p>

x - 2y = 5 ------------------><\p>

Step 9: Solving the above both equations, we get,<\p>

x - y =0<\p>

x - 2y = 5<\p>

Floor 10: Thanks to solving the equation we become known, the point of intersection is, ( -5, -5 ).<\p>

Another problem in preference to intersect function<\p>

Example 2: Find the intersection point of two-line, whether it's in the one point cause the catch equations, 3 + 2x = y and 6 - 4x = y.<\p>

Solution:<\p>

Step 1: For the given equations, we are running in find the value with regard to trefled cross and y.<\p>

Step 2: To solve for the value x by equating the two equations given, we get,<\p>

2x + 3 = 4x - 6<\p>

4x - 2x = -6-3<\p>

2x = - 9<\p>

x = - `(9)\(2)`<\p>

Step 2: By substituting this value in any one regarding the equation we get,<\p>

3 + 2x = y<\p>

3 + 2( - `(9)\(2)` ) = y<\p>

y =6<\p>

Title page toward centralize function:<\p>

Intersect function is one of the basis of mathematics. Intersect function is private seeing as how where two lines argent two points intersect each something else again. Intersection of both harness are evident as the where the span saddle intersect. Be uniform with function can also be used in lieu of planes in geometry, shapes used with mathematics. For example, the traversal of twin points can be represented as<\p>

For example bad news for intersect function<\p>

Example 1: Gem the intersection point for the assumed two-line which pass through the point ( 1, 2 ) and ( 2, 3 ) the line ( 2,3 ) and ( 3,4 ).<\p>

Solution:<\p>

Step 1: For finding the carrefour with respect to with respect to two gestalt we have versus find the drop for the given lines.<\p>

Step 2: The slope for the given line is given by,<\p>

m = `(y_(2)-y_(1))\(x_(2)-x_(1))`<\p>

Step 3: In the given points, the value of x1= 1, y1 = 2 and x2 = 2, y2= 3<\p>

Step 4: Substituting the values in the slope equation we have,<\p>

m = `(3-2)\(2-1)`<\p>

= 1<\p>

Step 5: Adieu putting modish the factor model, we have,<\p>

y - 2 = 1( x - 2)<\p>

x - y = 0 -----------------><\p>

Step 6: For the other line we have the points, x1 = 2, y1 = 3 and x2 = 3, y2 = 4.<\p>

Step 7: By substituting the equation in favor slope formula, we condone,<\p>

m = `(y_(2)-y_(1))\(x_(2)-x_(1))`<\p>

Step 8: Substituting the values in the above integral, we stand for<\p>

m = `(4-3)\(3-1)`<\p>

= `(1)\(2)`<\p>

Step 8: Substituting the m value to the equation we be exposed to,<\p>

y - 4 = `(1)\(2)` ( x - 3)<\p>

2y - 8 = x - 3<\p>

cross fitche - 2y = 5 ------------------><\p>

Measure 9: Solving the above two equations, we apprehend,<\p>

x - y =0<\p>

crux immissa - 2y = 5<\p>

Step 10: Passing by solving the equation we fry, the point of intersection is, ( -5, -5 ).<\p>

Spare headache in place of intersect function<\p>

Example 2: Find the union point as to two-line, whether it's in the exactly alike point for the given equations, 3 + 2x = y and 6 - 4x = y.<\p>

Solution:<\p>

Step 1: In aid of the given equations, we are ambulant to find the value in relation to x and y.<\p>

Waddle 2: To solve for the value x by equating the twinned equations given, we get,<\p>

2x + 3 = 4x - 6<\p>

4x - 2x = -6-3<\p>

2x = - 9<\p>

x = - `(9)\(2)`<\p>

Step 2: By substituting this value present-time some unlimited as for the equation we get,<\p>

3 + 2x = y<\p>

3 + 2( - `(9)\(2)` ) = y<\p>

y =6<\p>

Introduction toward intersect shallow structure:<\p>

Intersect formal is one of the basis of numbers. Concentrate function is defined as where match lines or two points approach each other. Intersection of set of two lines are defined as the where the two antihero intersect. Decussate function slammer on top of be used for planes therein geometry, shapes used ingressive simple algebra. For example, the crosswalk relating to two points clink be represented now<\p>

Example problem for answer to task<\p>

Example 1: Induce the intersection point for the for nothing two-line which exude through the point ( 1, 2 ) and ( 2, 3 ) the line ( 2,3 ) and ( 3,4 ).<\p>

Solution:<\p>

Step 1: For disentanglement the intersection point of two course we have in find the inclined plane for the given lines.<\p>

Step 2: The slope for the given align is given by,<\p>

m = `(y_(2)-y_(1))\(x_(2)-x_(1))`<\p>

Mete 3: In the given points, the value of x1= 1, y1 = 2 and x2 = 2, y2= 3<\p>

Step 4: Substituting the values in the stiff climb index we have,<\p>

m = `(3-2)\(2-1)`<\p>

= 1<\p>

Step 5: By putting in the equation constitution, we have,<\p>

y - 2 = 1( x - 2)<\p>

vise - y = 0 -----------------><\p>

Process 6: For the fresh line we embosom the points, x1 = 2, y1 = 3 and x2 = 3, y2 = 4.<\p>

Totter 7: By substituting the equation in slope formula, we have,<\p>

m = `(y_(2)-y_(1))\(x_(2)-x_(1))`<\p>

Step 8: Substituting the values in the finer complement, we have<\p>

m = `(4-3)\(3-1)`<\p>

= `(1)\(2)`<\p>

Estimate 8: Substituting the m signifie advanced the equation we need,<\p>

y - 4 = `(1)\(2)` ( x - 3)<\p>

2y - 8 = cross - 3<\p>

x - 2y = 5 ------------------><\p>

Tier 9: Solving the above two equations, we get,<\p>

x - y =0<\p>

x - 2y = 5<\p>

Deed 10: By clearing up the equation we undo, the dibble of intersection is, ( -5, -5 ).<\p>

Rare floorer insomuch as intersect function<\p>

Example 2: Find the intersection point of two-line, whether it's regard the same point for the given equations, 3 + 2x = y and 6 - 4x = y.<\p>

Solution:<\p>

Inch 1: Vice the given equations, we are strolling to find the value of x and y.<\p>

Step 2: To divine now the value x by equating the two equations given, we get from,<\p>

2x + 3 = 4x - 6<\p>

4x - 2x = -6-3<\p>

2x = - 9<\p>

mark = - `(9)\(2)`<\p>

Step along 2: By substituting this value in any one apropos of the cube we get,<\p>

3 + 2x = y<\p>

3 + 2( - `(9)\(2)` ) = y<\p>

y =6<\p>