Question

What is the constant of proportionality in the graph below? (answer must be simplified fraction) PLEASE HELP I WILL MAKE U BRAINLIEST. IM LITERALLY GONNA FAIL IF I GET THIS WRONG. HELPPP

Answer 1

Answer:

The constant of proportionality is $\frac{9}{2}$

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities

• If x and y are in directly proportion, then $\frac{y}{x}=k$ , where k is the constant of proportionality.

• The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.

∵ Point (4, 18) lies on the line

∴ x = 4, y = 18

∵ The equation is y = kx

→ Substitute x by 4 and y by 18

∴ 18 = k(4)

∴ 18 = 4k

→ Divide both sides by 4 to find k

∴ $\frac{18}{4}=\frac{4k}{4}$

∴ $\frac{18}{4}=k$

→ Simplify the fraction by dividing up and down by 2

∴ $\frac{9}{2}=k$

∴ The constant of proportionality is $\frac{9}{2}$