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Inessa05 [86]
3 years ago
8

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

Mathematics
2 answers:
Olin [163]3 years ago
7 0
X+3y = 14
3y = -x +14
y = -1/3 x +14/3
 so the y intercept is 14/3
Xelga [282]3 years ago
5 0

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}.

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