HELP, ASAP PLS, first to answer will mark as brainlest

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

6 0

3 years ago

Charlie's Computer Company charges $0.65 per pound to ship computers. Part A: Write an equation to determine the total cost, c,

Harlamova29_29 [7]

Step-by-step explanation:

One pound = $0.65

Total cost = c

Number of pounds to ship = p

Part a:

c = 0.65p

When p = 2

c= 0.65(2)

c = $1.30

Part b:

One pound = $0.65 - $0.05 = $0.60

c= 0.6p

Answer: (a) $1.30 (b) c= 0.6p

6 0

3 years ago

A comedy show sells lower level tickets for $77 and upper level tickets for $99. On the opening night 2615 tickets were sold for

babunello [35]

Let x represent lower level tickets that cost $77

Let y represent upper level tickets that cost $99

Cost equation: 77x + 99y = 247,071

Tickets equation: x + y = 2615

Using the elimination method, multiply the second equation by -77:

77x + 99y = 247,071

-77x - 77y = -201,355

--> 22y = 45,716

--> y = 2,078

Now plug "y" into either equation and solve for "x". I chose the Tickets equation. x + y = 2615 → x = 2615 - y → x = 2615 - 2078 → x = 537

Answer: lower level = 537 tickets, upper level = 2078 tickets.

7 0

4 years ago

Read 2 more answers

Write an equivalent fraction with the given denominator. 9/19=?/57

Amanda [17]

Answer:

27

Step-by-step explanation:

Divide the denominators first. 57/19 = 3

That means to get the denominator you had to multiply 3 to 19. What you do to the bottom must be done at the top.

9*3 = ?

27

6 0

3 years ago

The hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 ga

Schach [20]

1) 12 out of 14 = 85% Win Rate
2) Now you have to figure out what is 85% of 21 so you have to plug in what you have ? out of 21 = .85
3) Multiply 21 x .85
4) Answer is They will win 18 out of 21 games

8 0

3 years ago