Is a coordinate a solution of a graph?

Front

Is (2,4) a solution to 5x + 6y = 34?

Back

Yes, substituting x=2 and y=4 gives 5(2) + 6(4) = 10 + 24 = 34.

Front

Is (0,5) a solution to 2y + 3x = 15?

Back

Yes, substituting x=0 and y=5 gives 2(5) + 3(0) = 10 + 0 = 15.

Front

Is (3,5) a solution to 5x + 6y = 34?

Back

No, substituting x=3 and y=5 gives 5(3) + 6(5) = 15 + 30 = 45, which is not equal to 34.

Front

Is (2, 16) a solution to 3x + 2y = 30?

Back

No, substituting x=2 and y=16 gives 3(2) + 2(16) = 6 + 32 = 38, which is not equal to 30.

Front

Is (10.5, 7) a solution to 2x - y = 14?

Back

Yes, substituting x=10.5 and y=7 gives 2(10.5) - 7 = 21 - 7 = 14.

Front

What is a coordinate in a graph?

Back

A coordinate is a pair of numbers (x, y) that represent a point's position on a graph.

Front

What does it mean for a coordinate to be a solution of an equation?

Back

It means that when the x and y values of the coordinate are substituted into the equation, the equation holds true.

Front

How do you determine if a coordinate is a solution to a linear equation?

Back

Substitute the x and y values of the coordinate into the equation and check if the equation is satisfied.

Front

What is the general form of a linear equation in two variables?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What is the significance of the solution of a linear equation?

Back

The solution represents the point(s) where the graph of the equation intersects the coordinate plane.