Suppose y varies directly with x. Write a direct variation equation that relates x and y
Y=10 when x=2

A. Y=-5x
B. Y=-1/5
C. Y=5x
D. Y=1/5x

C

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ←  k is the constant of variation

To find k use the condition that y = 10 when x = 2, thus

k = = = 5 , thus

y = 5x ← equation of variation → C

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)