A paint researcher collected the following data about the relationship between the paint level in a paint can and the surface area painted from this can.

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We can find the slope of the equation using any two points:

$$ m = \frac{y_2-y_1}{x_2-x_1} $$ $$ m = \frac{224-96}{7-3} $$ $$ m = \frac{128}{4} $$ $$ m = 32 $$

We can then use point-slope form:

$$ y-y_1=m(x-x_1) $$ $$ y-96 = 32(x-3) $$ $$ y-96=32x-96 $$ $$ \boxed{y= 32x} $$