Question

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

Answer 1

For direct variation, an increase or decrease in one variable leads to a proportional increase or decrease in the other variable

Given that y varies directly with x, we would introduce a constant of proportionality, k

The expresion becomes

y = kx

For x = 2 and y = 5,

5 = 2k

k = 5/2 = 2.5

The direct variation equation is

y = 2.5x