Through (2,-2) parallel to y= -1/2x+5

The equation of line passing through (2, -2) and parallel to is

Solution:

We have to find the equation of line passing through (2, -2) and parallel to

The equation of line in slope intercept form is given as:

y = mx + c  ------- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

On comparing the given equation of line with eqn 1,

We know that slope of a line and slope of line parallel to it is always equal

Therefore, slope of line parallel to given line is also

Substitute (x, y) = (2, -2) and in eqn 1

Substitute c = -1 and in eqn 1

Thus equation of line parallel to given line is found

if x = 1, then the answer is 3.5