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

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step-by-step explanation: