The given equation is
y = - 3x + 6
We would find the x and y intercepts.
The x intercept is the value of x when y = 0. Substituting y = 0 into the equation, we have
0 = - 3x + 6
Adding 3x to both sides of the equation, we have
0 + 3x = - 3x + 3x + 6
3x = 6
x = 6/3 = 2
x intercept = (2, 0)
The y intercept is the value of y when x = 0. Substituting x = 0 into the equation, we have
y = - 3(0) + 6
y = 0 + 6
y = 6
y = intercept = (0, 6)
The graph is plotted as shown below with the intercepts
