For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following equation of the line:

Where:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:

Substitute the given point
to find "b":

Finally, the equation of the requested line is:

Answer:

Given:
The given equation is:

A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:

Where, m is slope and b is y-intercept.
We have,

Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,



The slope of required line is
and it passes through the point (4,-1). So, the equation of the line is:




Therefore, the equation of the required line is
.
Answer:
When x is -6, y will be 18
When x is -5 y will be 15
Step-by-step explanation:
Create a proportion
y/x
-9/3 = x/-6 What do we need to multiply 3 by to get 6? -2, so we will multiply -9 by -2 to get 18
Some people like to solve by cross multiplying.
That would give us
(-9)(-6) = 3x
54 = 3x divide both sides by 3
18 = x
Set up the second problem as a proportion
-9/3 = x/-5 This is a little trickier. I am trying to think what I have to multiply 3 by to get -5. 3(-5/3) will give me -5, so I will multiply the top number that I know (-9) by (-5/3) to find my x.
(-9)(-5/3) = 45/3 or 15
Answer:
1. 228 parents
Step-by-step explanation:
I will do number 1 for you. I'll let you or someone else do the others.
Let 10x = no. of girls
5x = no. of boys
4x = no. of parents
Now, 10x + 5x + 4x = 1083
19x = 1083
x = 57
(10)(57) = 570 girls
(5)(57) = 285 boys
(4)(57) = <u>228 parents</u>
1083 total
ANSWER



EXPLANATION
For real number 'a',

is true because we have to plug in 'a' for x.

This is also true because limit of a constant is the constant.

is false. The correct value is


is also true because we have to substitute 5 for x.

is also false
The limit should be
