Answer:
- x-intercept: (-22, 0)
- y-intercept: (0, 6)
Step-by-step explanation:
Each intercept is found by solving for the variable after the other variable is set to zero.
<h3>X-intercept</h3>
Set y = 0 and solve for x:
-3x = 66
x = 66/(-3) = -22 . . . . . divide by the coefficient of x
The x-intercept is (-22, 0).
<h3>Y-intercept</h3>
Set x = 0 and solve for y:
11y = 66
y = 66/11 = 6 . . . . . . . . divide by the coefficien tof y
The y-intercept is (0, 6).
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<em>Additional comment</em>
The given equation is in standard form (almost). This form makes it easy to find the intercepts by <em>dividing the constant by the variable's coefficient</em>, as we did above.
(We say "almost" standard form because the leading coefficient is negative. It would be positive in standard form: 3x -11y = -66.)
