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

a. 1/4
b. 1/2
c. 3/4
d. 1

4 The equation of the line on the graph below is a direct variation equation What is the constant of variation a 14 b 12 c 34 d 1 class=

Respuesta :

[tex]\frac{1}{4}[/tex] → 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 = [tex]\frac{1-0}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]