$\"\"$

The slope - intercept form of the equation of a line is $\"\"$ .

(a)

The equation of line is $\"\"$ and point is $\"\"$ .

The line equation is $\"\"$ .

Write the equation in slope-intercept form.

$\"\"$ .

Compare the above equation with slope - intercept form.

Slope $\"\"$ .

Since the slopes of the parallel lines are equal, slope of the required line is $\"\"$ .

The line is passing through the point $\"\"$ with a slope of $\"\"$ . \ \

The point - slope form of the line equation is $\"\"$ .

Substitute the values of $\"\"$ and $\"\"$ in point - slope form. \ \

$\"\"$

$\"\"$ . \ \

The required line is $\"\"$ .

$\"\"$

(b)

Since the slopes of the perpendicular lines are negative reciprocals, slope of the required line is $\"\"$ . \ \

The point - slope form of the equation of a line is $\"\"$ .

Substitute the values of $\"\"$ and in point - slope form.

$\"\"$

$\"\"$ .

The required line is $\"\"$ .

$\"\"$

(a) The required line is $\"\"$ .

(b) The required line is $\"\"$ .