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
pickupchik [31]
2 years ago
13

What is an Answer: equation of the line that passes through the points (-2, 7) and (-8, 4)?

Mathematics
2 answers:
Mariana [72]2 years ago
4 0
-2=x1 7=y1 -8=x2 4=y2

Y=Mx+b

Y2-y1 = 4-7 =-3
X2-x1 = -8-(-2) = -6
M (slope) = 3

Use the coordinate (-8, 4)

Y = MX + B = 4 = 3(-8) + b
4 = -24+ B
Add 24 to both sides to keep your equation balanced
B equals 28

Y = 3X + 28
kicyunya [14]2 years ago
3 0

Answer:

\sf \textsf{Equation:}\ y=\dfrac{1}{2}x+8

Step-by-step explanation:

The equation of the line can be written in slope-intercept form (y = mx + b):

<u>where:</u>

  • m is the slope
  • b is the y-intercept

To find the equation of a line when given two points, we first need to find the slope of the line.

The slope can be found using the following formula:

\sf m=\dfrac{y_2-y_1}{x_2-x_1}

Given the points (-2, 7) and (-8, 4):

y₂ = 4, y₁ = 7

x₂ = -8, x₁ = -2

Substitute the values into the formula:

\sf m=\dfrac{4-7}{-8-(-2)}\ \textsf{[simplify]}\\\\m=\dfrac{4-7}{-8+2}\ \textsf{[simplify]}\\\\m=\dfrac{-3}{-6}=\dfrac{3}{6}\ \textsf{[reduce]}\\\\m=\dfrac{3\div3}{6\div3}\\\\m=\dfrac{1}{2}

Now, use one of the given points to solve for <u><em>b</em></u> by substituting the x and y-value into the equation:

\sf y=\dfrac{1}{2}x+b\\\\4=\dfrac{1}{2}(-8)+b\ \textsf{[multiply]}\\\\4=-4+b\ \textsf{[add 4 to both sides]}\\\\4+4=-4+4+b\\\\8=b

\sf \textsf{Equation of the line:}\ y=\dfrac{1}{2}x+8

Check your work:

\sf y=\dfrac{1}{2}x+8\\\\7=\dfrac{1}{2}(-2)+8\\\\7=-1+8\\\\7=7\ \checkmark

\sf \textsf{Therefore, our equation is:}\ y=\dfrac{1}{2}x+8

Learn more here:

brainly.com/question/24436844

brainly.com/question/27913172

You might be interested in
I need help asapppp please help mee
Sloan [31]
With what? have an image or something of the question?
5 0
3 years ago
Read 2 more answers
Which Of the following could not be points on the units circle ?
Serjik [45]

answer A , that could not be point

3 0
3 years ago
Read 2 more answers
What shape is in the interior of these four<br> lines? Classify it.
Airida [17]

Answer:

parallelogram

Step-by-step explanation:

5 0
3 years ago
The sum of 4 times a number and 2 equals 8
NikAS [45]

Answer:

1.5   or   3/2

Step-by-step explanation:

4x+2=8

4x=6

x=6/4

x=3/2

5 0
3 years ago
Use words to explain how to multiply (33)(34).
Setler [38]

Answer:

The answer is 1122.

Step-by-step explanation:

First, multiply 34 by 3. That gives you 102.

Then multiply 34 by 3 again. But when you're writing this down in calculations, put a zero in the ones column then write your answer. (I'll show an example of what this looks like at the bottom.

Then, add your answers and you'll have your answer...

Click on the link.

4 0
3 years ago
Other questions:
  • Please help!!!!!!!!!
    7·1 answer
  • What is 45% of 726 how do u get it
    14·1 answer
  • Find the area and perimeter for number 19 and 20 with work please
    10·1 answer
  • Find the third side in simplest radical form:
    11·1 answer
  • Another name for the median in a set of data?. What is?
    11·1 answer
  • Please help with this question!!!!
    7·1 answer
  • Find the value of x in the triangle shown below.
    7·2 answers
  • 6x1/5 in simplest form it’s for my cousin
    15·2 answers
  • The quadrilateral below is formed from a parallelogram and an
    14·1 answer
  • =
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!