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
FrozenT [24]
3 years ago
8

Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4

Mathematics
2 answers:
aev [14]3 years ago
7 0

first off, let's notice something on this line, the graph touches the y-axis at 2, namely when x = 0, y = 2, so that's the y-intercept for this line.

now, let's notice something else, as the line moves from x = -4, to the right towards x = 0, the run is 4 units, the rise is 2 units, so its slope is rise/run or  2/4 or 1/2, that said, that gives us an equation of

\bf y=\cfrac{1}{2}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\implies y=0.5x+2

\bf y-3 = \cfrac{1}{2}(x-2)\implies y-3=\cfrac{1}{2}x-1\implies y=\cfrac{1}{2}x+2\qquad \textit{\Large\checkmark} \\\\\\ y-1=0.5(x+2)\implies y-1=0.5x+1\implies y=0.5x+2\qquad \textit{\Large\checkmark} \\\\\\ f(x) = 0.2x-4\qquad \bigotimes

Vanyuwa [196]3 years ago
6 0

Answer:

f(x) = 0.2x - 4  (incorrect)

f(x) = 0.5x + 2  (correct)

f(x) = 1/2x + 2      (correct)

y – 3 = 1/2(x – 2)     (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

<em>Step 1 : Find two coordinates</em>

(0, 2) (-4, 0)

<em>Step 2 : Find the slope</em>

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

<em>Step 3 : Find the y-intercept</em>

Y-intercept is where the line intersects the y-axis

c = 2

<em>Step 4 : Form the equation y=mx + c</em>

<em>Given Equations and their slope intercept forms:</em>

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

!!

You might be interested in
If you shift the linear parent function, (X) = x down 6 units, what is the
jeka94

Answer:

<h2>C. g(x) = x - 6</h2>

Step-by-step explanation:

For a parent function y = f(x) and n > 0:

f(x) + n : move the graph n units up

f(x) - n : move the graph n units down

f(x + n) : move the graph n units to the left

f(x - n) : move the graph n units to the right

===================================================

We have

f(x) = x

Transformation: 6 units down

f(x) - 6 = x - 6

3 0
3 years ago
8
svetoff [14.1K]

Answer:

5+9+10+10+5+2+5+2

Step-by-step explanation:

48÷8=6

6 is median of given data

5 0
1 year ago
Read 2 more answers
What is 1/2 minus 1/4?
Oliga [24]

Answer:1/4

Step-by-step explanation:

1/2 is the same thing as 2/4 so.... 2/4 minus 1/4 is 1/4

3 0
3 years ago
Read 2 more answers
Find the product using the distributive property 2oo × 42.3
Greeley [361]

Answer:

Step-by-step explanation:

200 * 42.3 = 200 * (40 + 2.3)

                   = 200*40  + 200*2.3

                   = 8000 + 460.0

                   =8460

4 0
3 years ago
There are 16 people. Each person is broken down into the colors they prefer, the shades they prefer, and the tertiary gradients
Yuki888 [10]

Answer:

There are 69120 total combinations.

Step-by-step explanation:

To find the total number of combinations, we multiply all these values. So

16 people

18 colors

12 shades

20 tertiary gradients.

How many combinations are there total?

16*18*12*20 = 69120

There are 69120 total combinations.

8 0
2 years ago
Other questions:
  • 7.489 divided by 0.09
    9·1 answer
  • For her tutoring services, Thuy charged Demi $10 per hour and $8 for books and supplies. Demi paid a total of $48.00. Which equa
    15·1 answer
  • Find an equation for the inverse of the function. F(x)=5x+1
    7·1 answer
  • Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green bal
    12·1 answer
  • All units of a 100 unit apartment complex are rented out when the monthly rent is set at$1000 per month. suppose that one unit b
    12·1 answer
  • A. -4 &lt;= x &lt;= 0 b. y &gt;= -3 c. all real numbers 4. {-4,0}
    8·1 answer
  • How do I find slope of (-15,-15), (12,2)
    10·1 answer
  • Need help with this
    11·1 answer
  • What is this please show work too solve the proportion
    9·1 answer
  • HELPPPPP put myself in a bad spot PLEASE ANSWER QUICK FOR ME and please put the work also
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!