Answer:
x- intercept is at [tex]( - 3 \frac{2}{3} ,0)[/tex].
y- intercept is at [tex](0,1 \frac{5}{6} )[/tex].
Step-by-step explanation:
The x-intercept occurs when y=0.
Thus, substitute y= 0 into the equation to find the x- intercept.
-3x +6y= 11
When y= 0,
-3x +6(0)= 11
-3x= 11
x= 11 ÷ (-3)
[tex]x = - \frac{11}{3} \\ x = - 3 \frac{2}{3} [/tex]
The y-intercept occurs at x= 0.
When x= 0,
-3(0) +6y= 11
6y= 11
y= 11÷ 6
[tex]y = 1\frac{5}{6} [/tex]
