contestada

Line A passes through the points (-1, 5) and (3, 21).

Line B passes through the points (4, -2) and (-3, 19).

Find the point where line A intersects line B.

Respuesta :

The point where Line A intersects Line B is (1*7,67*7)

* = divided by sign
fieryanswererft

Answer:

(1/7,  67/7)

Explanation:

In order to find the intersection between the two lines A and B. First find their equation from the given points and then set them together.

For Line A: (-1, 5) and (3, 21)

slope: (y2-y1)/(x2-x1) = (21-5)/(3--1) = 16/4 = 4

Equation:

y - y1 = m(x - x1)

y - 5 = 4(x - -1)

y - 5 = 4(x + 1)

y - 5 = 4x + 4

y = 4x + 9

For Line B: (4, -2) and (-3, 19)

slope: (y2-y1)/(x2-x1) = (19--2)/(-3-4) = -3

Equation:

y - y1 = m(x2 - x1)

y - -2 = -3(x - 4)

y + 2 = -3x + 12

y = -3x + 10

Set the equations together:

-3x + 10 = 4x + 9

-3x - 4x = 9 - 10

-7x = -1

x = -1/-7 = 1/7

y = -3x + 10 = -3(1/7) + 10 = 67/7