To find the x- and y-intercepts for the equation: 2x - y = 6, we can proceed as follows:
1. This is the equation of a line.
2. We can determine the value for the x-intercept if we have y = 0.
3. We can determine the value for the y-intercept if we have x = 0.
Therefore, we have:
a. The value of the equation when y = 0 (this is the value for the x-intercept):
[tex]2x-(0)=6\Rightarrow2x=6\Rightarrow x=\frac{6}{2}\Rightarrow x=3[/tex]b. The value of the equation when x = 0 (this is the value for the y-intercept):
[tex]2\cdot(0)-y=6\Rightarrow0-y=6\Rightarrow-y=6\Rightarrow y=-6[/tex]Hence:
1. The value for the x-intercept is (3, 0)
2. The value for the y-intercept is (0, -6)
