Question

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marker
Graph the linear equation. Find three
points with integer valued coordinates
that solve the equation, then plot on the
graph.
2x - 3y = -6

Answer 1

(-3 , 0) (0, 2) (6, -6)

Explanation:

Solving for x - intercept:

2x - 3(0) = -6

2x = -6

2x/2 = -6/2

x = -3

One point would be (-3 , 0) .

Solving for y-intercept:

2(0) - 3y = -6

-3y = -6

-3y/-3 = -6/-3

y = 2

Another point would be (0, 2).

When 'x' equals 6:

2(6) - 3y = -6

12 - 3y = -6

12 - 12 - 3y = -6 - 12

-3y = -18

-3y/3 = -18/3

y = -6

The third point would be (6, -6).