Hi, there--
The Problem:
Find the x and y intercept:
x+y=6
A Solution:
You have a linear equation here. By definition, the x-intercept is a coordinate pair solution
with a y-value of 0. On a graph, this is the point where the the line crosses the x-axis.
Similarly, the y-intercept is the coordinate pair solution with an x-value of 0. This is the point
where the line intersects the y-axis.
Find the x-intercept:
A straightforward way to solve this problem is to substitute 0 for y in your equation.
x + y = 6
x + (0) = 6
x = 6
When y=0, x=6. The x-intecept is 6. The line x+y=6 crosses the x-axis at the point (6,0).
Find the y-intercept:
To solve this problem, substitute 0 for x in the equation.
x + y = 0
(0) + y = 6
y = 6
When x=0, y=6. The y-intercept is also 6. The line x+y=6 crosses the y-axis at the point (6,0).
NOTE: The x- and y-intercepts are not always the same number.
Hope this helps. Please email me if this is unclear or you still have questions.
Ms. Figgy
math.in.the.vortex@gmail.com