What is the y-intercept of a line perpendicular to y = kx + 6 that passes through the point (4.-3)? A: 5
B: 5/2
C: -5
D: -11

To start, any question that asks you for a line perpendicular to another, you should know that the slope of the new line will be the negative reciprocal of the slope given

In your case the opposite of 2x is

1

2

x

and then we make it negative to get

−

1

2

x

from here, you have enough information to solve the problem using point slope form. which is

y

−

y

1

=

m

(

x

−

x

1

)

now we plug in what we are given:

y

1

is 6, the slope (m) is

−

1

2

x

and

x

1

is 4.

Now, we should have

y

−

6

=

−

1

2

(

x

−

4

)

Next, we distribute the

−

1

2

(

x

−

4

)

and get

−

1

2

x

+

2

our equation at this point is now

y

−

6

=

−

1

2

x

+

2

Finally we just have to add the -6 from both sides to get

y

alone.

Our FINAL equation is

y

=

−

1

2

x

+

8

its b

Hope this helps!!

b is the answer that makes most sense

step-by-step explanation:

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.