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Maslowich
3 years ago
5

30 POINTS!! Write the slope-intercept form of the equation for the line.

Mathematics
2 answers:
Anton [14]3 years ago
8 0

Answer:

B. y = -\frac{3}{10}x + \frac{1}{2}

Step-by-step explanation:

Well slope-intercept form is y = ax + b.

Let's start with the slope.

In this case, finding the slope is easy.

It should have a negative slope.

So we can cross out answer choices A. and C.

Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's

not the slope.

So we can cross out D.

The only answer choice left is B.

We can tell the y-intercept is 1/2 because like come on so B is the correct answer.

B. y = -\frac{3}{10}x + \frac{1}{2}

Fantom [35]3 years ago
3 0

Looking at the graph, we can figure out our y-intercept or b simply by looking at the line to see where it intersects the y-axis.

So, we can see that the line intersects the y-axis at 1/2 or 0.5

That means, our y-intercept or b is 1/2 (0.5).

Now, to find out the slope of the line, we can pick two pairs of coordinates on the line and plug it into the slope equation to figure out the slope.

Let's use the two coordinate pairs: (-5, 2) and (0, 1/2).

Plug it in.

1/2 - 2 = - 1.5

0 - - 5 = 5

-1.5/5 = -0.3

Convert it into a fraction: -0.3 = -3/10

Thus, our slope intercept form for this line is: y = -3/10 + 1/2

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Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work
alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!!  :-)

6 0
3 years ago
Answer qn in attachment​
leva [86]

Answer:

\implies \dfrac{ -4x+7}{2(x-2) }

Step-by-step explanation:

The given expression to us is ,

\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}

Now take the LCM as ( x - 1 ) and Simplify , we have ,

\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}

Simplifying further , we get ,

\implies \dfrac{ -4x+7}{2(x-2) }

Hence the second option is correct .

4 0
3 years ago
Solving Exponential Equations (lacking a common base)<br><br>(0.52)^q=4
bulgar [2K]

Answer:

q = log4 / log0.53

q = -2.189

Step-by-step explanation:

(0.53)^q = 4

Taking log of both sides!

q log 0.53 = log 4

q = log 4 / log 0.53

q = 0.602 / -0.275

q = - 2.189

This can be checked to confirm correctness.

Substituting q = -2.189

(0.53)^ -2.189 = 1/ 0.249

= 4.01 Proved!

(Note that the "1" is because of the negative sign)

8 0
3 years ago
Read 2 more answers
What does it mean for a product of factors to be expressed using exponents
7nadin3 [17]
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4 0
3 years ago
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What’s the answer....
ICE Princess25 [194]

Answer:

<h2>x = 10</h2>

Step-by-step explanation:

If the triangles are similar, then the corresponding sides are in proportion:

\dfrac{20}{20+8}=\dfrac{3x}{4x+2}

\dfrac{20}{28}=\dfrac{3x}{4x+2}

\dfrac{20:4}{28:4}=\dfrac{3x}{4x+2}

\dfrac{5}{7}=\dfrac{3x}{4x+2}                 <em>cross multiply</em>

5(4x+2)=(7)(3x)        <em>use distributive property </em><em>a(b + c) = ab + ac</em>

(5)(4x)+(5)(2)=21x

20x+10=21x             <em>subtract 20x from both sides</em>

10=1x\to x=10

3 0
3 years ago
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