Question

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

Answer 1

X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3

Answer 2

Answer: The required y-intercept of the given line is
`(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 slope-intercept form 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=-(1)/(3)x+(14)/(3).`

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

`\textup{y-intercept, c}=(14)/(3).`

Thus, the required y-intercept of the given line is
`(14)/(3).`