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:

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 -67 +15 =0 has:

y-intercept= ⁵/₂
x-intercept= -⁵/₃