Question

Find an equation of a line through √3,1 / 2) parallel to the line:

a. x = −9
b. y = −√7
c. What can you conclude about your answer in parts (a) and (b)?

Answer 1

(a)
`x=√(3)`

(b)
`y=(1)/(2)`

(c) Answer of part a is equation of line
`x=√(3)` which is parallel to y axis and in part by equation of line is
`y=(1)/(2)` which is parallel to x axis

Explanation:

We have given points are
`(√(3),(1)/(2))`

(a) Equation of line is given x = -9

We have to find the equation of line parallel to x= -9 and passing through
`(√(3),(1)/(2))`

x = -9 line is parallel to y axis and so slope will be infinite

Equation of line is given by
`y-y_1=m(x-x_1)`

So
`y-(1)/(2)=(1)/(0)(x-√(3))`

`x=√(3)`

(b) Equation of line is given
`y=-√(7)`

This line is parallel to x axis so slope will be zero

So equation of line will be
`y-(1)/(2)=0(x-√(3))`

`y=(1)/(2)`

(c) Answer of part a is equation of line
`x=√(3)` which is parallel to y axis and in part by equation of line is
`y=(1)/(2)` which is parallel to x axis