In the xy-plane, line k has 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?

-6

Step-by-step explanation:

Positive slope means the line go up and positive x-intercept means that y-intercept will be negative.

=> The area of the triangle would be (1/2) * (value of x-intercept) * (the value of y-intercept) = 12

1/2 * x*IyI = 12

|y|=6

But y-intercept will be negative so we choose the value is - 6