The equation for the slope between the points A = (x1, y1) and B = (x2, y2) = (y2 - y1)/(x2 - x1), provided x1 is different from x2. If x1 and x2 are the same then the slope is not defined.
x2 + y2 = r2
No, linear equations don't have x2. Equation with x and y are usually linear equations. Equations with either x2 or y2 (but never both) are usually quadratic equations.
y=x2 and y=lnx are two examples of nonlinear equations.
We believe that those equations have no real solutions, and that their graphs therefore have no points of intersection.
X2 + Y2 = 36Y = (+/-) sqrt(36 - X2)=====================Radius = 6 (the circle is nicely oriented )andY = X - 10zeroing out variables in turnY = (0) - 10Y = - 10=======================With a radius of only six for the circle and the line with these intersection points we can say with some confidence that this circle has no points in common with this line.
x2 + y2 = 25radius of 10?x2 + y2 = 100
Points: (x1, y1) and (x2, y2) Slope: y1-y2/x1-x2
To solve equations like x2+a=0 with a>0
x2 - 4
It works out that the points of intersection between the equations of 2x+5 = 5 and x^2 -y^2 = 3 are at: (14/3, -13/3) and (2, 1)
Equations with an order of 2 (contains a value to the power of 2, i.e. x2). An example of a quadratic equation is: x2 + 10x + 7