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.
Answer
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:

x-intercept and y-intercept

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:

finding y-intercept

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

finding x-intercept

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

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Sep 08, 2012
thanks
by: Anonymous

this was really helpful!!!

Nov 14, 2010
Typo fixed
by: Anonymous

typo fixed :).

Nov 14, 2010
Typo
by: Anonymous

You wrote 9x-67+15=0 at the bottom instead of
9x-6y+15=0 !!

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