Question

Write and graph a direct variation equation that passes through the given point. (2,-5)

Answer 1

A variation equation has a general form of:

$y=mx$

Where:

m= constant of variation

You have an especific point (2 , -5)

You can use this point to find the m (constant of variation), as follow:

x = 2

y = - 5

$-5=m(2)$$m=-\frac{5}{2}$

Now you can use the value of m to get the final equation:

$y=-\frac{5}{2}x$