Question

Name the x- and y-intercepts for the equation: 2x - y = 6 (0, -3) and (-6, 0) (-3,0) and (0-6) (0.3) and (-6,0) (3, 0) and (0, -6)

Answer 1

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):

`2x-(0)=6\Rightarrow2x=6\Rightarrow x=(6)/(2)\Rightarrow x=3`

b. The value of the equation when x = 0 (this is the value for the y-intercept):

`2\cdot(0)-y=6\Rightarrow0-y=6\Rightarrow-y=6\Rightarrow y=-6`

Hence:

1. The value for the x-intercept is (3, 0)

2. The value for the y-intercept is (0, -6)