Search 74,107 tutors
Ask a question
0 0

x+3y=7, find the y-intercept

Tutors, please sign in to answer this question.

4 Answers

There's only one right answer to a math problem and when you're right, you're right.

Confirmed Y of X=0 in this equation is 7/3 or 2 1/3

Arrange the equation in the slope-intercept format:

  y = mx + b  --------------- eq. 1                    where b is the intercept.

 Given:    x+3y=7

 Rearrange it:     3y=-x + 7

                           y= (-1/3)x + 7/3 --------------- eq. 2

 Comparing eq. 1 and eq. 2,  intercept is 7/3, or two and one third.


The definition of a y intercept is the location where x = 0. I think the problem was trying to be misleading. The standard equation of a line is y=mx + b where m is the slope and b is the y intercept. One quick glance and you may see the 7 and assume that this the y intercept. However, when you begin to rearrange the equation x+3y=7,  move the x to the other side 3y=-x+7, you need to get rid of the 3 in front of the y so divide everything by 3, y=-1/3x+7/3. You can now either plug 0 in for x or just see that the value of b is 7/3. Just like the answers above. 

Woodbridge Slope tutors