An equation cannot exist (has no meaning) without an '=' sign. Therefore, and somewhat simplistically, an equation MEANS that, for specific instances, the entities on both sides of the '=' sign are in balance (equal in worth). Example 1: x + 2 = 5; means there is a value of 'x' which when substituted into the entity 'x + 2' will make it equal in value to what's on the other side of '=', ie: 5. In this example the balance is achieved when and only when x has the value 3. Example 2: x2 + 5x - 8 = 66 (where x2 represents x-squared) means there are > 1 value of 'x' which when substituted into the entity 'x2 + 5x - 8' wll make it equal in value to 66. In this example the values of x ('+' and '-'values) can be determined iteratively or by using the quadratic formula. Hope this helps.
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Real but not a root of an algebraic equation with rational roots coefficients
The slope-intercept equation y = mx + b is that they mechanically substitute for m and b without understanding their meaning.
If you know the slope and x-intercept, writing the equation to a line is easy. For example, if you know the x-intercept to be 3, and the slope to be 2, then you plug it into the equation y=mx+b. At the point where the line hits the x-intercept, the y-value is 0, meaning you actually have a data point (3,0). Plug this into your equation: 0=3(2)+b 0=6+b -6=b b=-6 Then you put the equation together, as you know m and b: y=2x-6
Quadratic equation
y - 7x is not an equation, it is an expression. An expression cannot have a slope.y - 7x is not an equation, it is an expression. An expression cannot have a slope.y - 7x is not an equation, it is an expression. An expression cannot have a slope.y - 7x is not an equation, it is an expression. An expression cannot have a slope.