# Write an equation for each line in point-slope form and then convert it to standard form Write an equation of the line parallel to x+2y=6 through (8,3) Write an equation of the line perpendicular to x+2y=6 through (8,3) Graph the three lines on the same coordinate plane

1 answer

###### Question:

Write an equation for each line in point-slope form and then convert it to standard form

Write an equation of the line parallel to x+2y=6 through (8,3)

Write an equation of the line perpendicular to x+2y=6 through (8,3)

Graph the three lines on the same coordinate plane

Write an equation of the line parallel to x+2y=6 through (8,3)

Write an equation of the line perpendicular to x+2y=6 through (8,3)

Graph the three lines on the same coordinate plane

## Answers

Answer:x + 2y = 142x -y = 13Step-by-step explanation:I find it easier to work with the given standard-form equation. The parallel line will have the same x- and y-coefficients and a new constant. That constant can be found by substituting the given x- and y-values into the left-side expression: x + 2y = 8 + 2·3 = 14The parallel line is x + 2y = 14.__The perpendicular line will have the x- and y-coefficients swapped and one of them negated. (In standard form, the x-coefficient is positive, so in this case it is convenient to negate the y-coefficient.) Then the perpendicular line through (8, 3) is ... 2x -y = 2·8 -3 = 13The perpendicular line is 2x - y = 13.

#### Similar Solved Questions

1 answer

### 27.2g / 2.0 cm^3and(2.04 x 10^-4) x (2.34 x 10^-3)

27.2g / 2.0 cm^3and(2.04 x 10^-4) x (2.34 x 10^-3)...

2 answers

### Matthew went to a amusement park during his summer vacation. He went with four of his best friends. The admission fee for the park was $10.50. The cost of each ride ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the amusement park. How many ride tickets can Matthew buy?

Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can M...

1 answer

### There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?...

2 answers

### I'm giving free pionts and brailiest to the first person !!

I'm giving free pionts and brailiest to the first person !!...

2 answers

### A right circular cylinder has a height of 20 1/2 ft and a diameter 1 1/5 times its height. What is the volume of the cylinder?

A right circular cylinder has a height of 20 1/2 ft and a diameter 1 1/5 times its height.
What is the volume of the cylinder?...

1 answer

### There are 3 times as many males as females on the maths course at university. What fraction of the course are male?

There are 3 times as many males as females on the maths course at university. What fraction of the course are male?...

2 answers

### What are the three steps of the Preacher’s Method?

What are the three steps of the Preacher’s Method?...

1 answer

### Estimate 394/24 by first rounding each number so that it has only 1 nonzero digit.

estimate 394/24 by first rounding each number so that it has only 1 nonzero digit....

1 answer

### Prove that there does not exist integers m and n such that 2m+4n=7

Prove that there does not exist integers m and n such that 2m+4n=7...

1 answer

### Which field of economics deals primarily with the problems faced by low-income countries?

Which field of economics deals primarily with the problems faced by low-income countries?...

2 answers

### On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point

On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V i...

1 answer

### Can someone help please this is due in 15 min. :( The possibe answers to choose from are the Northern Peninsula the Southern Alps the Canterbury Plains the Eastern Hills

Can someone help please this is due in 15 min. :(
The possibe answers to choose from are
the Northern Peninsula
the Southern Alps
the Canterbury Plains
the Eastern Hills...

1 answer

### Victoria arranges flowers in basses at her restaurant. In each arrangement, 2/3 of the flowers are yellow. What other fractions can represents the part of the flowers that are yellow? Shade your pictures to show your work

Victoria arranges flowers in basses at her restaurant. In each arrangement, 2/3 of the flowers are yellow. What other fractions can represents the part of the flowers that are yellow? Shade your pictures to show your work...

1 answer

### Judging from both the chart and the photo, how can you use the document to argue that building the Great Wall was worth the cost?

Judging from both the chart and the photo, how can you use the document to argue that building the Great Wall was worth the cost?...