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oksian1 [2.3K]
3 years ago
7

What is the equation of the line that passes through (6,4) and (4,1)

Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula --->   m=(y2-y1)/(x2-x1)

Replacing the given points --->    m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5

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What does angle x equal ??
Ludmilka [50]
X equals 38. That means, angle R is 38, angle P is 69, and angle Q is 73.

You get x=38 by doing x+35+x+2x-7 = 180

*Hope this helps!*
8 0
3 years ago
Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)
Brrunno [24]

Answer:

- 3(x + 4) {}^{2}  - 4

Step-by-step explanation:

Vertex form is

a(x - h) {}^{2}  + k = f(x)

We know that h and k are both -4. Let x be -2 and y be -16.

a( - 2  + 4) {}^{2}   - 4 =  - 16

a(2) {}^{2}  - 4 =  - 16

4a - 4 =  - 16

4a =  - 12

a =  - 3

So the equation in vertex form is

- 3(x  + 4) {}^{2}  - 4

5 0
3 years ago
A farmer owns 70 acres of land. Of the 70 acres, only 65% can be farmed. How many acres are available for farming? acres are ava
denis-greek [22]

45.5 acres of land can be farmed and 24.5 cannot be farmed.

4 0
2 years ago
Write an equation in slope intercept form for the line that has a y intercept of 3 and a slope of -2
charle [14.2K]

Answer:

-2x + 3

Step-by-step explanation:

Trust me, this is the answer.

An explanation:

Slope is rate of change.

if the lady sells 2 cakes in 3 hours, her rate of change, or slope is 2/3.

Y-intercept is where the data enters the graph. It will not always be at the origin of the graph. If on the lady's first day of business, she sold 10 cakes, the  Y-intercept is 10. This equation of the lady's business in slope intercept form would be 2/3x + 10. ALWAYS write the slope before x and the y intercept after the + or -- , hope this helps, but -2x + 3 is your answer for sure.

4 0
3 years ago
Cameron's uncle is 3 times old as he is. 4 years ago, he was 4 times older. How old is Cameron?
erma4kov [3.2K]

Let Cameron be x years old now.

-

<u>Now:</u>

Cameron = x

Uncle =3x

-

<u>4 years ago:</u>

Cameron = x - 4

Uncle = 3x - 4

-

<u>4 years ago, Uncle is 4 times older:</u>

3x - 4 = 4(x - 4)

-

<u>Find x:</u>

3x - 4 = 4(x - 4)

3x - 4 = 4x - 16

4x - 3x = 16 - 4

x = 12

-

<u>Find the age:</u>

Cameron = x = 12

-

Answer: Cameron is 12 years old now.

3 0
3 years ago
Read 2 more answers
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