General Form For The Equation Of A Circle
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Hear this out loud PauseThe general form of the equation of a line ? ? + ? ? + ? = 0 is closely related to its standard form: ? ? + ? ? = ? , where ? , ? , and ? are integers and ? is nonnegative. We can convert the standard form into general form by subtracting the constant ? from both sides of the equation.
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
Ex 1: Write General Equation of a Circle in Standard Form - YouTube YouTube Start of suggested clip End of suggested clip So we'll have x squared. Minus six x plus some constant that would make this a perfect squareMoreSo we'll have x squared. Minus six x plus some constant that would make this a perfect square trinomial plus y squared plus eight y. Plus a constant that will make this a perfect square trinomial.
Changing Slope-Intercept Form to General Form - YouTube YouTube Start of suggested clip End of suggested clip So. If you look at this guy I'll rewrite it got lazy didn't want to use my fraction. Button. It's 1/MoreSo. If you look at this guy I'll rewrite it got lazy didn't want to use my fraction. Button. It's 1/2 X plus y. So if I subtract Y from both sides. I do it again and it with 0 is equal to 1/2.
Finding a linear equation in general form given two points on the line YouTube Start of suggested clip End of suggested clip Plus 8X here. And then I'll subtract 8 from both sides as well. And then on the right hand side thatMorePlus 8X here. And then I'll subtract 8 from both sides as well. And then on the right hand side that will give us zero. So then I'm just going to reorder these terms with my X term first so I have 8x.