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noname [10]
3 years ago
12

Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes thro

ugh the point (4, 4) on the blue line. Explain how you determined your answer.

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

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WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!
Andrew [12]

Answer:

a = \frac{1}{2} , b = 5, and  \frac{2b}{a} = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

<u>+4  +4   </u>                    Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

<u>-3        - 3</u>                     Do inverse operations

2 = 4a                          

\frac{2}{4} = \frac{4a}{4}                           Divide 4 on both sides to isolate the variable a

\frac{2}{4} = a                            Simplify

\frac{1}{2} = a

Then,

The second part says to find \frac{2b}{a}

\frac{2b}{a}

\frac{2(5)}{(\frac{1}{2}) }                  Input both the values of a and b

\frac{10}{\frac{1}{2} }                    Simplify

20.

The answer for a is \frac{1}{2}, the answer for b is 5, and the answer for \frac{2b}{a} is 20.

6 0
3 years ago
Need help on this asap!! Also Thank you in advance!!
sattari [20]

Answer:

31.96 centimeter is the answer

5 0
2 years ago
Read 2 more answers
Which ordered pair is not a solution of f(x) = 2x + 9? (0, 9) (7, 23) (3, 14) (2, 13)
12345 [234]
(3,14) because when you plug in the x and y values you don’t end up with a true statement.
F(x)=2(3)+9
F(x)=6+9
F(x)=15
14 does not equal 15
4 0
3 years ago
Read 2 more answers
Is 1/2 greater than 2/5
Free_Kalibri [48]
yes it is greater than 2/5


6 0
3 years ago
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of
Verdich [7]

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

3 0
3 years ago
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