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
Andreyy89
2 years ago
15

3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

ewrite it in the slope-intercept form.
Mathematics
1 answer:
vova2212 [387]2 years ago
7 0

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$.

Slope-intercept form of equation is given as $y=-2 x-2$.

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$$y_{1}=2 \text {. }$$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$$

Hence, slope-intercept form of equation is given as y=-2x-2.

You might be interested in
Given the function f(x) = 4x^2 - 17, find f (h+2).
forsale [732]

Answer:

B

Step-by-step explanation:

Substitute x = h + 2 into f(x), that is

f(h + 2)

= 4(h + 2)² - 17 ← expand factor using FOIL

= 4(h² + 4h + 4) - 17 ← distribute parenthesis and simplify

= 4h² + 16h + 16 - 17

= 4h² + 16h - 1 → B

6 0
3 years ago
Read 2 more answers
Compute the probability of flipping a coin once and getting heads, given that the previous flip was tails.
ra1l [238]

Answer:

the probability to flip a head is 50%

Step-by-step explanation:

I think.

5 0
3 years ago
Can 7in and 1lb be in the same unit
monitta

Answer:

Yes

Here you gooooooo

7 0
3 years ago
Read 2 more answers
A marathon is a race that is 42.195 kilometers long. Joel ran two marathons this year. How many total kilometers did he run betw
nignag [31]
84.39 is ya answer to the question
8 0
3 years ago
Read 2 more answers
Consider the function f(x)=x3+15x2+74x+120. If f(x)=0 for x=−6, for what other values of x is the function equal to 0? List the
jasenka [17]

Answer:

other x values are -5,-4

Step-by-step explanation:

f(x)=0 for x=−6

Apply synthetic division to get the quotient . using that we find other two values of x

-6                1           15             74          120

                   0          -6           - 54          -120                    

                  -------------------------------------------------

                    1           9             20         0

the quotient is x^2+9x+20=0

now factor the left hand side, product is 20 and sum is 9

x^2+9x+20=0\\(x+5)(x+4)=0\\x+5=0 , x=-5\\x+4=0, x=-4

So  other x values are -5,-4

8 0
3 years ago
Other questions:
  • How are these triangles congruent
    9·1 answer
  • 2 5/16 divided by 7/8
    7·1 answer
  • Prove that cos^3x+3cos2x= 4 (cos^6 x-sin^6x)
    15·1 answer
  • The taxi ride cost five dollars ($5) plus sixty cents (.60) more for each quarter mile traveled. What will be the cost for a 2.7
    6·1 answer
  • A pitcher of fruit punch holds 2 gallons.If 9 people share the entire pitcher equally, how much punch does each person get?
    11·1 answer
  • The weight of a 5gallon bottle water is 18.5kg. The weight of a 1 gallon bottle water is 10, 500mg. What is the total weight of
    5·1 answer
  • PLEASE HELP (PRE ALGEBRA)
    15·1 answer
  • Which statement correctly describes the relationship of the data shown in the scatter plot?
    13·1 answer
  • Simplify. (-√7)(-√7)
    6·1 answer
  • Add these fractions 5/7 + 2/7 is it to 3 or
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!