1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sattari [20]
3 years ago
11

Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

\boxed {\boxed {\sf y= 6x+5}}

Step-by-step explanation:

We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:

y=mx+b

Where m is the slope and b is the y-intercept.

We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.

y-y_1= m (x-x_1)

Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:

  • m= 6
  • x₁= -1
  • y₁= -1

Substitute the values into the formula.

y- -1 = 6(x- -1) \\y+1= 6(x+1)

Distribute the 6. Multiply each value inside the parentheses by 6.

y+1 = (6*x)+ (6*1) \\y+1= 6x+6

Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.

y+1-1=6x+6-1 \\y= 6x+5

The equation of the line in slope-intercept form is <u>y=6x+5</u>

You might be interested in
A catering company loses $110 as a result of a delay. The 5 owners of the company must share the loss equally. Which quotient re
nasty-shy [4]
They all loss $22.00
6 0
3 years ago
Read 2 more answers
You by 20 of your favorite songs from a website that charges $0.99 for each song. what is the cost of 20 songs?
maksim [4K]

The answer is $19.80

6 0
3 years ago
Read 2 more answers
What is the outer diameter <br>​
Georgia [21]
The outer diameter is 1/36*2+1/6
= 1/3 inches
3 0
3 years ago
Read 2 more answers
Guy took out a 10-year loan for $63,000 at an APR of 10.9%, compounded
astra-53 [7]

Answer: Wilber would save more, because he borrowed $15,000 more in principal.

Step-by-step explanation:

3 0
3 years ago
Which equation represents the line that passes through the points (2,7) and (1,5)
Dimas [21]

Answer:

First we get the slope of line with points (2,3) & (1,5):

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F%28-1%29

m=-2, slope

Knowing the slop, we can get the intercept in point (1,1):

y=mx%2Bb, SLOPE- INTERCEPT

1=-2%281%29%2Bb

b=1%2B2=3

so, the eqn of the line: highlight%28y=-2x%2B3%29

The line with points (2,3) & (1,5): same slope because parallel, we'll check

 

VIA POINT SLOPE FORM:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F-1 ----> m=-2, same right?

For the intercept thru pints (2,3):

Via SLOPE INTERCEPT FORM, we pick points (2,3)

3=-2%282%29%2Bb

b=3%2B4=7 ----> y intercept. The same value if you pick points (1,5).

Eqn of line: y=-2x%2B7 (Green line) parallel to y=-2x%2B3 (Red line)

See the graph,

--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Wesly reads 60 pages in 20 minutes if he reads at the same constant rate what equation could represent this as a proportional re
    8·1 answer
  • Rob 15 foot wire into 8 equal pieces .About how long is each piece?
    6·2 answers
  • Please answer with explanation of how you got the answer !!
    13·1 answer
  • Arpad's roof is shaped like a square pyramid. The square base has side lengths of 55 feet. The height of each triangular face is
    13·2 answers
  • At a charity function, $150,045 was donated by three companies A, B, and C in the ratio 7 : 5 : 9. How much money did company B
    14·2 answers
  • Circles and i neeeeed help
    9·2 answers
  • PLS HELP!!!: A meter is about the distance from one hand to the other when your arms are stretched out if 5 friends stood with t
    7·2 answers
  • The distance between two towns on a map is 6cm. The actual distance between two towns is 48 km. What is the scale on the map?
    9·1 answer
  • Pls answer all and show work and provide explanation!
    8·1 answer
  • 2⋅−21 PLZ I NEED HELP
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!