Write the equation of a line that is parallel to y=
1/2x and that passes through the point (9 -6)

Equation of a line that is parallel to

and that passes through the point (9 -6) is

 Solution:

The slope - intercept form equation of line is given as

 --- (1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

Given that

 ---- (2)

On comparing equation (1) and (2) we get slope of equation (2) is

Consider equation of the line which is parallel to equation (1) is

--- (3)

If two lines are parallel then slope of both lines should be equal. That is if slope of the line (1) is ,then slope of equation (3) is

On substituting value of m1 in equation (3), we get

 --- (4)

Given that equation (4) passes through (9, -6) that is x = 9 and y = -6. So on substituting value of x and y in equation (4),

On simplifying above equation,

On substituting value of b in equation (4),

Hence equation of a line that is parallel to and that passes through the point (9 -6)  is