Answer:
D. [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
We have been given an equation [tex]x+3y=14[/tex]. We are asked to find the y-intercept of the line.
We know that slope-intercept form of an equation is [tex]y=mx+b[/tex], 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:
[tex]x-x+3y=-x+14[/tex]
[tex]3y=-x+14[/tex]
[tex]\frac{3y}{3}=-\frac{x}{3}+\frac{14}{3}[/tex]
[tex]y=-\frac{1}{3}x+\frac{14}{3}[/tex]
We can see that value of b is [tex]\frac{14}{3}[/tex] for our given equation, therefore, y-intercept is [tex]\frac{14}{3}[/tex].
