Q: Describe the graph of the equation square of x plus y equals the square of x plus the square of y?

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It is a straight line equation whereas m is the slope and b is the y intercept.

The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.

Same way you graph y = -4x - 0.5

Just swap the letter around in the formula that you are given!

the graph is moved down 6 units

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ax + by = cThe graph if that equation is a straight line whose slope is (-a/b)and whose y-intercept is (c/b).

It is a straight line equation whereas m is the slope and b is the y intercept.

The equation you have given, y + 2 = 7, does not describe a line, it describes the number 5. You would not graph a single number, there is nothing to graph.

35

It is a straight line.

The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph

The equation has no slope. The graph of the equation is a straight line with a slope of -1 .

You are describing a circle, with its center at the origin and a radius of 4 (the square root of 16)

That's not an equation, so there's nothing to graph. Simple way to tell: There's no "equals" sign in it.

The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.

A linear equation ?

The slope of the graph of that equation is -1.