8-6 VECTORS AND PARAMETRIC EQUATIONS

We can write an equation of a line by referencing a vector it is parallel to. This is called a Vector Equation

Vector equation: where t is a scalar.

1)Write a vector equation of a line passing through P1 (1,4) and parallel to

2)Write a vector equation of a line passing through P1 (3,-9) and parallel to

You can write vector equations by separating the horizontal and vertical components. This is a called a parametric equation.

Parametric Equation: x=x1 +ta1

y = y1 + ta2

t x y

4) Write a parametric equation of y = -4x + 7

5) Write a parametric equation of y = ½x + 7

a) How long is it until the second plane overtakes the first?

b) How far have both planes traveled when the second plane overtakes the first?