In the xy plane, Line k has a positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, What is the y-intercept of line K ?
I would guess -6 because:
We are given the x-intercept = 4 and that will give you one side of the triangle, the side along the x-axis. We also know the area = 12, so just solve for the other side.
For triangles: 1/2 * base * height = area
1/2 * b * 4 = 12
b = 6
The only thing to remember now is that the slope of the line was positive, so we know that the y-intercept will be a negative number, and that gives us our answer of -6
