Question

The equation of a line is x 3y = 14. what is the y-intercept of the line? −14 3/14 14 14/3

Answer 1

x+3y = 14
3y = -x +14
y = -1/3 x +14/3
so the y intercept is 14/3

Answer 2

D.
`(14)/(3)`

Explanation:

We have been given an equation
`x+3y=14`. We are asked to find the y-intercept of the line.

We know that slope-intercept form of an equation is
`y=mx+b`, where,

m = Slope of line,

b = The y-intercept.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation as:

`x-x+3y=-x+14`

`3y=-x+14`

`(3y)/(3)=-(x)/(3)+(14)/(3)`

`y=-(1)/(3)x+(14)/(3)`

We can see that value of b is
`(14)/(3)` for our given equation, therefore, y-intercept is
`(14)/(3)`.