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
stiks02 [169]
2 years ago
6

A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line.

Mathematics
2 answers:
Alex17521 [72]2 years ago
8 0

Answer:

y=8x-14

Step-by-step explanation:

Hi there!

We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope (8), we can immediately plug that into the equation

So far, the equation of the line is:

y=8x+b

Now we need to find b

The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b

Substitute 1 as x and -6 as y in the equation to solve for b

-6=8(1)+b

Multiply

-6=8+b

Subtract 8 from both sides

-14=b

Substitute -14 as b into the equation

<u>y=8x-14</u>

Hope this helps!

Annette [7]2 years ago
7 0

Answer:

\boxed {\boxed {\sf y=8x-14}}

Step-by-step explanation:

We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.

y-y_1= m(x-x_1)

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,

  • m= 8
  • x₁= 1
  • y₁= -6

Substitute these values into the formula.

y- (-6) = 8(x-1)

Remember that 2 back to back subtraction signs are the same as an addition sign.

y+6=8(x-1)

The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.

y+6 = (8*x) + (8*-1)

y+6= (8x)+ (-8)

y+6=8x-8

6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.

y+6-6=8x-8-6

y=8x-8-6

y= 8x-14

The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.

You might be interested in
HELP! click on image, but I will give Brainly + 24 pts !!
Whitepunk [10]

Answer:

p(x)=20x+300+0.03x^2

p(70)=1553 dollars

7 0
3 years ago
Read 2 more answers
If x is a positive integer then the solution set of 4x+2&lt;14 is
taurus [48]
4x + 2 < 14
4x < 14 - 2
4x < 12
x < 12/4
x < 3 S = { x <3 }
3 0
3 years ago
I need help with #18,20,22 and 24. Please show your work and I'm really thankful for your help as soon as possible!
Artist 52 [7]
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!

For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!

For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
4 0
3 years ago
Help please asap!!!!!!!!!
goldenfox [79]
Try C but im not 100% sure though
3 0
3 years ago
What is the value of x, if the perimeter of the rectangle is 42? *<br><br> This is the problem :
rusak2 [61]

Answer:

Im assuming you meant 43 because if you did x=5

Step-by-step explanation:

8 times 5 is 40 and ifyou add 3 it equals 43

5 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the domain of the function h(x)= 8x/x(x^2-81)
    11·1 answer
  • Zak is 6 years older than half his sister bellas age bella is 6 years old
    11·1 answer
  • Can someone help me, please I've been getting so many wrong if you get it right I'll give brainiest
    8·1 answer
  • Consider the arithmetic sequence where the 12th term is 41 and the 4th term is 1. a. Find the formula of the nthterm of the sequ
    13·1 answer
  • Can someone plese help me count my bobux please i have 4 but i dont now how to count it all
    15·1 answer
  • Five and one third minus three and five sixths
    12·2 answers
  • I
    15·1 answer
  • a dog weighs 8 times as many as his cat. together the two pets weigh 54 pounds. how much does the dog weigh?
    12·2 answers
  • What is the square root of negative 11?
    5·2 answers
  • at what rate of compound interest per annum will the compound interest on rupees 270000 be rupees 8937 in 3 years ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!