Question

Draw the following lines 3x + 7y = 16, x + 4 = 0 and 7y = 3x − 2. Write the coordinates of the points of intersection of the lines. What type of triangle is formed? Find its area.

Answer 1

Given: 

3x + 7y = 16

x + 4 = 0 → x = −4

7y = 3x − 2

Points of Intersection:

A (–4, 4)

B (–4, –2)

C (3, 1)

Vertices: A(–4, 4), B(–4, –2), C(3, 1)

Type of Triangle: Isosceles (2 sides are equal)

= 21 square units