Question

The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing side BC.

Answer 1

Vertices of ΔABC are A(3, 4), B(2, 0) and C(−1, 6).

Equation of the line in two-point form is:

`(y_2 - y_1)/(x_2 - x_1)`

∴ The slope of  BC = `(y_2 - y_1)/(x_2 - x_1)`

= `(6 - 0)/(-1 - 2)`

= `(6)/(-3)`

= −2

The equation of the containing side BC

y − y₁ = m(x − x₁)

y − 0 = −2(x − 2)

y = −2x + 4

∴ 2x + y − 4 = 0