Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation? Complete the steps to write the equation of direct variation.

Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.

Camila took an interest inventory in her career explorations class. read her description of the results of the assessment. which two phrases clearly reveal her career interests? when i took the interest inventory in my career explorations class, it revealed that even though i really value the (1.) balance between work and home life, i like an (2.) engaging atmosphere at work, where i can stay busy. based on my (3.) fascination with technology, i should work in a field with computers. based on my (4.) attraction to working with mechanics, i should be working with machines. this leads me to believe that i should be working in robotics, which sounds like a lot of fun! (options are listed with the numbers 1-4)