Write the slope-intercept form of the equation that passes through the point (0,-3) and is perpendicular to the line y = 2x - 6 a. y = -2x + 3 b. y = 2x - 3 c. y = -1/2x - 3 d. y = -1/2x + 3

y = (-1/2)x - 3

Step-by-step explanation:

The line y = 2x - 6 has a slope of 2 and so any line perpendicular to it has a slope which is the negative reciprocal of 2:  -1/2.

If this perpendicular line passes through (0, -3), then the slope-intercept equation y = mx + b becomes -3 = (-1/2)(0) + b, or -3 = b, and the desired

equation is

y = (-1/2)x - 3

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

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.