1. write and equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2); y=-x-2 a)y=-2x b)y=2x c)y=1/2x d)y=-x 2. write and equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-1); y=-3/2x+6 a)y=-3/2x+1 b)y=-3/2x-1 c)y=-3/2x+2 d)y=-3/2x+4 3. write and equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2); x=-3 a)y=2 b)y=2x+4 c)y=4x d)x=4 4. write and equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-2,3); y=1/2x-1 a)y=1/2x+1 b)y=-2x-1 c)y=1/2x-1 d)y=-1/2x-1 5. write and equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (5,0); y+1=2(x-3) a)y=-1/2x+5 b)y=2x-5 c)y=1/2x-2 d)y=-1/2x+5/2

1. The correct option is D.

2. The correct option is C.

3. The correct option is D.

4. The correct option is B.

5. The correct option is D.

Step-by-step explanation:

The slope intercept form of a line is

where, m is slope and b is y-intercept.

The slope of parallel lines are same.

(1)

The required line is parallel to the line y=-x-2 and passes through (2,-2). Slope of the line is -1.

The equation of required line is

Therefore the correct option is D.

(2)

The required line is parallel to the line y=-3/2x+6 and passes through (2,-1). Slope of the line is -3/2.

The equation of required line is

Therefore the correct option is C.

(3)

The required line is parallel to the line x=-3 and passes through (4,2). Slope of the line is infinite.

The equation of required line is

Therefore the correct option is D.

(4)

Product of slopes of perpendicular lines is -1.

The required line is perpendicular to the line y=1/2x-1 and passes through (-2,3). Slope of the required line is -2.

The equation of required line is

Therefore the correct option is B.

(5)

The required line is perpendicular to the line y+1=2(x-3) and passes through (5,0). Slope of the required line is -1/2.

The equation of required line is

Therefore the correct option is D.

d is ur answer hopes this i dont really know how to explain it to u.