If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# x-intercept of a line

CCSS.Math:

## Video transcript

the graph of the line 2y plus 3x equals 7 is given right over here determine its x-intercept so the x-intercept is the x value when y is equal to 0 or it's the x value where our graph actually intersects the x axis notice that notice right over here our Y value is exactly 0 we're sitting on the x axis so let's think about what this x value must be well just looking at it from just trying to eyeball a little bit it looks like it's a little it's a little over 2 it's between 2 & 3 it looks like it's less than 2 and 1/2 but we don't know the exact value so let's go turn to the equation to figure out the exact value so we essentially have to figure out what x value when y is equal to 0 we'll have this equation be true so we could just say 2 times 0 plus 3x is equal to 7 well 2 times 0 is just going to be 0 so we have 3x is equal to 7 and then we can divide both sides by 3 to solve for X and we get X is equal to 7 over 3 now does that look like 7/3 well we just have to remind ourselves that 7 over 3 is the same thing as 6 over 3 plus 1 over 3 and 6 over 3 is 2 so this is the same thing as 2 and 1/3 another way you could think about is 3 goes into 7 two times and then you have a remainder of 1 so you still got to divide that one by 3 so it's two full times and then a 1/3 so this looks like 2 and 1/3 and so that's its x-intercept 7 7/3 if I was doing this on the exercise on Khan Academy it's always a little easier to type in the improper fraction so I would put in 7/3