Choose a point on the line with equation   y=1/2x. Find the equation of the line passing through the point and
1  parralel to y-axis
2  perpendicular to y-axis
3  with slope 1/2

Asked by lovemaan5500 | 8th Nov, 2017, 06:08: AM

Expert Answer:

Using y=1/2 x,
we can select (2,1) on it.
 
1) We need to find the equation of a line passing through (2,1) and parallel to y-axis.
Equation is x=2
 
 
2) We need to find the equation of a line passing through (2,1) and perpendicular to y-axis.
Equation is y=1
 
3) We need to find the equation of a line passing through (2,1) and with a slope 1/2.
 
begin mathsize 12px style y equals m x plus c
y equals 1 half x plus c
S u b s t i t u t i n g space left parenthesis 2 comma 1 right parenthesis comma space w e space g e t colon
1 equals 1 half cross times 2 plus c
therefore c equals 0

therefore T h e space e q u a t i o n space o f space t h e space r e q u i r e d space l i n e space i s space y equals 1 half x end style

Answered by Nooren | 28th Nov, 2017, 12:26: PM