Line a passes through the points (-5,-8) and (4,19). line b passes through the points (3,-3) and (-6,15). find the coordinates of the point where line a intersects line b.

Explanation:

To find, analytically, the coordinates of the point where line A intersects line B, you find the equation of each line and solve a system of equations, whose solution will be the coordinates of suct intersection point.

1. Line A

       slope: (19 - (-8) ) / (4 - (- 5)) = (19 + 8) / (4 + 5) = 27 / 6 = 3

        point-slope equation: y - 4 = 3 ( x - 19)

        clear y:                         y = 3x - 57 + 4

                                             y = 3x - 53

2. LIne B

        slope: ( 15 - (-3)) / (-6 - 3) = (15 + 3) / (-9) = 18 / (-9) = - 2.

         point-slope equation: y + 3 = - 2( x - 3)

         clear y:                          y = - 2x + 6 - 3

                                               y = - 2x + 3

3. Solve the system (find the intersection point)

Subtract equation (2) from equation (1)

Substitute x = 11.2 into equation (2)

Intersection point (11.2, -19.4)

the answer is c

hope this !

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.