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

Answer:

D. $\frac{14}{3}$

Step-by-step 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:

$x-x+3y=-x+14$

$3y=-x+14$

$\frac{3y}{3}=-\frac{x}{3}+\frac{14}{3}$

$y=-\frac{1}{3}x+\frac{14}{3}$

We can see that value of b is $\frac{14}{3}$ for our given equation, therefore, y-intercept is $\frac{14}{3}$.