Question

Find the vector and parametric equations for this line: goes through (7,5) with inclination 45º.

need hellllppppp:/

Answer 1

m = 1/1 = 1 as inclination is 45 degrees
do you understand that?

Answer 2

as you only have a single point the most advanced parametric equation you can work out is a linear equation, which takes the form y = mx +c

Answer 3

@ewa you following ok so far?

Answer 4

perfectly

Answer 5

good, so you have the equation type (y = mx + c) and you have m, now tell me what c is?

Answer 6

-2

Answer 7

spot on, so there's ur equation

Answer 8

thank you

Answer 9

always welcome ;)

Answer 10

this gives an explanation of the different equations
http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfLines.aspx

the vector form of the line
through (7,5) with inclination 45º.

First, find a vector that points in the same direction as the line you want to define.
V= (1,1) (with a tail at (0,0) and head at (1,1) makes an angle of 45 deg with the x-axis)

your equation will be:
P= (7,5) + t*(1,1)
where P is any point on the line (a position vector) and "t" is a scalar (that is, a number)