Family of curves equations

Intercept form

x/a+y/b=1

Slope intercept form

y=mx+b

Point slope form

(y-y¹) =m(x-x¹)

Circle

(x-h)²+(y-k)²=r²

Ellipse (Horizontal)

(x/a)²+(y/b)²=1

Ellipse (Vertical)

(x/b)²+(y/a)²=1

Parabola (horizontal)

(y-k)²=4a(x-h)

Parabola (Vertical)

(x-h)²=4a(y-k)

Hyperbola ( horizontal)

(x/a)²-(y/b)²=1