A particular pizza store models their pizza sales based on their price. They find that at the original price of $5 per slice, th
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A direct variation equation is one that requires y varies directly as x and looks like this in equation form:
where k is the constant of variation. If we solve this for y, we have y = kx, which happens to be a linear function... a line. k here, then, serves as the slope. So what we are given as points on a direct variation function are actually points on a line. The equation for this requires that we find the slope and then rewrite the formula accordingly. First the slope:
Now we need to write the equation by using one of the points' coordinates. I picked the first point that has an x coordinate of -9 and a y coordinate of -3. Fitting those into the slope-intercept form of a line,
which simplifies to
-3 = -3 + b and b = 0. That means that the equation of direct variation is
or just