Write as a Vector Equality y=1/2x+1 , y=1/2x+1

Problem

y=1/2*x+1

Solution

1. Identify the components of the vector equation of a line, which is given by r=(r_0)+t*v where (r_0) is a position vector of a point on the line and v is the direction vector.

2. Find a point on the line by choosing a value for x If x=0 then y=1/2*(0)+1=1 This gives the position vector (r_0)=([0],[1])

3. Determine the direction vector by finding the slope. The slope m=1/2 represents a change of 1 unit in y for every 2 units in x Thus, the direction vector is v=([2],[1])

4. Combine these into the vector equality form ([x],[y])=(r_0)+t*v

Final Answer

([x],[y])=([0],[1])+t*([2],[1])

Want more problems? Check here!