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nexus9112 [7]
2 years ago
9

The equation of a line is X+3Y=14 what is the y-intercept of the line?

Mathematics
2 answers:
kompoz [17]2 years ago
6 0

Answer:  The required y-intercept of the given line is \dfrac{14}{3}.  

Step-by-step explanation:  We are given to find the y-intercept of the following equation of a line :

x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

The <em>slope-intercept form</em> of the equation of a line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.

Comparing the above equation with the slope-intercept form, we get

\textup{y-intercept, c}=\dfrac{14}{3}.

Thus, the required y-intercept of the given line is \dfrac{14}{3}.  

vodka [1.7K]2 years ago
4 0
X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3
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