Question

4. The equation of the line on the graph below is a direct variation equation. What is the constant of variation?

Answer 1

$\frac{1}{4}$ → a

the equation is y = mx ( where m is the slope / constant of variation )

calculate m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = $\frac{1-0}{4-0}$ = $\frac{1}{4}$