# Find the x- and y- intercept of a linear equation

by Visitor
(United States)

##### Question
Find the x-intercept and the y-intercept of the line given by the equation 9x -6y +15 = 0.
This basic understanding required to solve this was covered the x-intercept and y-intercept math video. To summarize, we should know that:
y-intercept: y-coordinate of the point where the graph crosses the y-axis

x-intercept: x-coordinate of the point where the graph crosses the x-axis
Knowing the above, we can visualize both the intercepts as shown below:

Notice something from the picture above? At the y-intercept point, the x-coordinate of that point is always 0.

With this, we can find the y-intercept of the equation by finding the value of y when x=0. Here's how we find it:

Similarly, at the x-intercept point, the y-coordinate is always 0. Hence, can find the x-intercept as shown below:

Finally, the equation 9x -6y +15 =0 has:
y-intercept= 5/2
x-intercept= -5/3

### Comments for Find the x- and y- intercept of a linear equation

Average Rating

 Sep 29, 2020 Rating Excellent explanation NEW by: Balaji Excellent way of illustrating the solution.

 Sep 08, 2012 Rating thanks by: Anonymous this was really helpful!!!

 Nov 14, 2010 Rating Typo fixed by: Anonymous typo fixed :).

 Nov 14, 2010 Rating Typo by: Anonymous You wrote 9x-67+15=0 at the bottom instead of 9x-6y+15=0 !!

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