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.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.