If a line passes through the points (1,2) an (2,1),Then find it's x-intercept and y-intercept ?
Answers
The xxx-intercept is the point where a line crosses the xxx-axis, and the yyy-intercept is the point where a line crosses the yyy-axis.
Want a deeper introduction to intercepts? Check out this video.
Example: Intercepts from a graph
Looking at the graph, we can find the intercepts.
The line crosses the axes at two points:
The point on the xxx-axis is (5,0)(5,0)left parenthesis, 5, comma, 0, right parenthesis. We call this the xxx-intercept.
The point on the yyy-axis is (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis. We call this the yyy-intercept.
Want to learn more about finding intercepts from graphs? Check out this video.
Example: Intercepts from a table
We're given a table of values and told that the relationship between xxx and yyy is linear.
xxx yyy
111 -9−9minus, 9
333 -6−6minus, 6
555 -3−3minus, 3
Then we're asked to find the intercepts of the corresponding graph.
The key is realizing that the xxx-intercept is the point where y=0y=0y, equals, 0, and the yyy-intercept is where x=0x=0x, equals, 0.