Math

Graphs of Functions

Slope Intercept

$y=mx+b$

Ex: Distance between (-4, 3) & (5, -1)

$\frac{3-\left(-1\right)}{5-\left(-4\right)}=\frac49$

$3=-\frac49\left(-4\right)+b$

$3-\frac49\left(4\right)=b$

$b=3-\frac49\left(4\right)$

$b=\frac{11}{9}$

$y=\frac49x+\frac{11}{9}$

Finding the distance between 2 points

$d=\sqrt{\left(x_1+x_2\right)^2+\left(y_1+y_2\right)^2}$

Finding the midpoint between 2 points

$M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$