The equation of the line on the graph below is a direct variation equation. What is the constant of variation?
The graph of a line on a coordinate grid is shown connecting the points left-parenthesis negative 4 comma negative 1 right-parenthesis, the origin, and left-parenthesis 4 comma 1 right-parenthesis.
(1 point)
one-fourth
Image with alt text: one-fourth
one-half
Image with alt text: one-half
three-fourths
Image with alt text: three-fourths
1
To find the constant of variation, we can use the formula for a direct variation equation, which is y = kx, where k is the constant of variation.
To find k, we can choose any point on the line and plug in the x and y coordinates.
Let's choose the point (4, 1).
1 = k(4)
To solve for k, we divide both sides of the equation by 4:
1/4 = k
Thus, the constant of variation is 1/4.