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

Is the answer 6

2 answers

And how do u solve it
slope = -3 means

y = -3x + b

If (1,3) is on the line.

3 = -3(1)+b
b = 6

So, the line is y = -3x+6
This line has x- and y-intercepts at (2,0) and (0,6)

So, the triangle has base 2 and height 6, giving area = 6

You are correct.