Finite Math 1.1 and 1.2

Slope formula

rise (y2-y1) over run (x2-x1)

point-slope formula

y-y1=m (x-x1)

slope-intercept formula

y=mx+b

general equation for a straight line

Ax+By+C=0

Standard equation for a straight line

Ax+By=C

Steps to turn general equation for a straight line into slope intercept form

1. isolate the y

   1. you move everything but the y to the other side

      1. Ax+By+C=0 → By=-Ax-C

2. solve for y by dividing every term by B

If we are given the radius and the center of a circle with 2 points, what equation do we then use?

(x-h)2+(y-k)2=r2

Distance formula

d=√(x2-x1)2+(y2-y1)2

Cartesian Coordinate Plane

Q1: top right (+,+)

Q2: top left (-,+)

Q3: bottom left (-,-)

Q4: bottom right (+,-)