What is the x and y intercept of #x-y=5#?
Intercepts are the points where the graph crosses the coordinate axes.
Notice how at the Y Intercept the value of the x-coordinate is 0, and at the X Intercept, the value of the y-coordinate is 0. We can use this principle to find the x and y intercepts!
1. To find x intercept
Therefore, x intercept
2. To find y intercept
Therefore, y intercept
Another way to do this in to remember the intercept form of an equation of a line, i.e.,
To make the RHS = 1, we'll divide throughout by 5, getting:
Notice how this looks like the intercept form of an equation of a line.
Comparing the two equations, we can conclude