Question

Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis

Answer 1

The first equation crosses the x axis at x - 4 x 0 + 10 = 0 => x = -10

The second equation crosses the x axis at x + 4 x 0 - 10 = 0 => x = +10

Adding the equations together gives 2x = 0 => x = 0
0 + 4y - 10 = 0 => 4y = 10 => y = 2.5

The vertices of the triangle formed by the two lines and the x axis are (-10, 0) (10, 0) and (0, 2.5)

Answer 2

Explanation:

x-14y=0

x=0/14y

x=14y

14y