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
spin [16.1K]
2 years ago
13

A student was asked to find the slope of the line through the points (4,8) and (-3,5). His answer,

t/?f=-%5Cfrac%7B3%7D%7B7%7D" id="TexFormula1" title="-\frac{3}{7}" alt="-\frac{3}{7}" align="absmiddle" class="latex-formula">, was incorrect. He showed his work as \frac{5-8}{4-(-3)}=-\frac{3}{7}=-\frac{3}{7}.
What went wrong? Give the correct slope.
Mathematics
1 answer:
evablogger [386]2 years ago
4 0

Answer:

m=\frac{-3}{-7}

Step-by-step explanation:

Given the following question:

Point A = (4, 8) = (x1, y1)
Point B = (-3, 5) = (x2, y2)

In order to find the slope any two points given we use the formula to find slope or rise/run.

m=\frac{y2-y1}{x2-x1}
m=\frac{5-8}{-3-4} =\frac{-3}{-7}
m=\frac{-3}{-7}

The reason why the students answer is incorrect because he substituted incorrectly. More specifically the run part of the formula for slope. The formula for slope goes x2 - x1 which means it should be -3 - 4, not -4 - 3, which will give you the answer -7.

Hope this helps.

You might be interested in
How do you solve this? r^2+32=12r
Andre45 [30]

Answer:

r = {-8, -4}

Step-by-step explanation:

Simplifying

r2 = -32 + -12r

Solving

r2 = -32 + -12r

Solving for variable 'r'.

Reorder the terms:

32 + 12r + r2 = -32 + -12r + 32 + 12r

Reorder the terms:

32 + 12r + r2 = -32 + 32 + -12r + 12r

Combine like terms: -32 + 32 = 0

32 + 12r + r2 = 0 + -12r + 12r

32 + 12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0

32 + 12r + r2 = 0

Factor a trinomial.

(8 + r)(4 + r) = 0

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying

8 + r = 0

Solving

8 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0

0 + r = 0 + -8

r = 0 + -8

Combine like terms: 0 + -8 = -8

r = -8

Simplifying

r = -8

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying

4 + r = 0

Solving

4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0

0 + r = 0 + -4

r = 0 + -4

Combine like terms: 0 + -4 = -4

r = -4

Simplifying

r = -4

Solution

r = {-8, -4}

3 0
3 years ago
Move two match sticks to make squares.
Rasek [7]

Answer:

The one in the middle and the one on the right?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find c. Round to the nearest tenth
sergeinik [125]

Answer:

c = <u>0.5 cm</u>

Step-by-step explanation:

Using the Sine rule in the triangle, then

=  ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c =  ≈ 0.5 cm ( to the nearest tenth )

8 0
3 years ago
4) 8(-2 + 2n) + 3n = 40 +5n
Nikitich [7]

Answer:

use the distributive property to distribute the 8

-16+16n+3n=40+5n

-16+19n=40+5n

-16=40+5n-19n

-16=40-14n

-14n+40= -16

-14n= -16-40

-14n= -56

n= -56/-14

n= 4

5 0
2 years ago
Read 2 more answers
9. Which of the following relations is a function?
elena-14-01-66 [18.8K]
The answer is D because the first number doesn’t reapeat
5 0
2 years ago
Other questions:
  • 7)
    14·1 answer
  • HELLO THERE. PLS HELP ME WITH MY GEOMETRY
    8·2 answers
  • What angle is included by segments AB and AC
    9·2 answers
  • Find the value of expression m(m-n) for m=3 and n=1<br><br><br> I need the ANSWER ASAP
    9·1 answer
  • Can someone find the error and explain?
    9·1 answer
  • In which type of triangle is the othocenter on the perimeter of the triangle?
    10·1 answer
  • -3x - 6 greater than 15
    8·1 answer
  • A Story bought headphones for $50 the mark up the price 65% what is the selling price of the phone.
    9·1 answer
  • During a huge snowstorm in the White Mountains last year, it snowed 400 centimeters in one week. How much did it snow in meters?
    9·2 answers
  • Han followed these instructions to make the image.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!