Question

I don't know if finding the perpendicular bisector would help

The x-axis, the y-axis, and the line through the point (1, 3) having slope -3 form a triangle, find
the area.

Answer 1

Wouln't it automatically be a right-angled triangle if the x-axis and the y-axis form sides?

So let's find the equation of the hypptenuse.
m = -3, point is (1,3)
y = -3x + b
3 = -3(1) + b
b = 6

y = -3x + 6

base of triangle = x-intercept = 2
height of triangle = y-intercept = 6

area =(1/2)(2)(6) = 6