Determine if the equation y=2/7x represents a direct variation

Represents a direct variation

Step-by-step explanation:

y = 2/7x

To find x-intercept/zero, substitute

y = 0

0 = 2/7x

Multiply both sides of the equation by 7/2

0 = x

Swap the sides of the equation

x = 0

Solution

x = 0

This is a direct variation because when x = 0. Y has to = 0 as well and it is so that makes this equation a direct variation.

direct variation - mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: x=3 and y=4

step-by-step explanation: