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 \(\frac{14}{3}\).
