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PLEASE HELP IM SO STUCK PLS

PLEASE HELP IM SO STUCK PLS-example-1
User Xach
by
7.3k points

2 Answers

2 votes

Answer: (-22,0) and (0,6) in order

Explanation:

x-intercept means point of graph that intersects the x-axis and y=0

y-intercept means point of graph that intersects the y-axis and x=0

So the x-intercept is -3x + 0 = 66 as y = 0

x = -22 so the coordinate is (-22,0)

The y-intercept is 0 + 11y = 66 as x = 0

y = 6 so the y-intercept is (0,6)

User TheFreedomBanana
by
6.7k points
5 votes

Answer:

  • x-intercept: (-22, 0)
  • y-intercept: (0, 6)

Explanation:

Each intercept is found by solving for the variable after the other variable is set to zero.

X-intercept

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).

Y-intercept

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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Additional comment

The given equation is in standard form (almost). This form makes it easy to find the intercepts by dividing the constant by the variable's coefficient, 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.)

User Wildmonkey
by
6.6k points
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