Please check my answer.
Solve the system of linear equalities graphically.
3x-y<=6
x>=1
y<=3
For the answer I have:
Equation in slope intercept form:
Equation 1:y-intercept as ordered pair=> (0, -6)
Equation 1: x-intercept as an ordered pair=> (2,0)
Do I have the ordered pairs correct?
To check if your ordered pairs are correct for the equation 3x-y <= 6, you can substitute the x and y values into the equation and see if it holds true.
For the y-intercept, you correctly identified it as (0, -6). To check this, substitute x = 0 and y = -6 into the equation:
3(0) - (-6) <= 6
0 + 6 <= 6
6 <= 6
The inequality is true, so the ordered pair (0, -6) is correct for the y-intercept.
For the x-intercept, you identified it as (2, 0). To check this, substitute x = 2 and y = 0 into the equation:
3(2) - (0) <= 6
6 <= 6
Again, the inequality is true, so the ordered pair (2, 0) is correct for the x-intercept.
Therefore, your ordered pairs for the equation 3x - y <= 6 are correct.