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Valentin [98]
2 years ago
7

Write an equation of the line that passes through 3,1 and 0,10

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
3 0

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

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Is it possible to construct Triangle ABC with angles 40, 60 and 90 degrees?
kotykmax [81]

Answer:

No, it's not possible

Step-by-step explanation:

A triangle must equal 180 degrees. 40+60+90 is 190, which is over 180.

5 0
2 years ago
If 24 marks is 60% what is full marks
Luda [366]

If 24 marks is 60 %, then full marks is 40

<em><u>Solution:</u></em>

Given that 24 marks is 60 %

We are asked to find the full marks

Let the full marks be "x"

So out of "x" marks, he has got 24 marks

Therefore,

60 % of full marks = 24

60 % of x = 24

60 \% \times x = 24\\\\\frac{60}{100} \times x = 24\\\\0.6x = 24\\\\x = \frac{24}{0.6}\\\\x = 40

Therefore, full marks is 40

<h3><u>Method 2:</u></h3>

If 60 % is 24, then we have to find what is 100 %

60 % = 24

100 % = x

This forms a proportion, So we can solve the sum by cross multiplying

60 \% \times x = 24 \times 100 \% \\\\60x = 2400\\\\x=\frac{2400}{60}\\\\x = 40

Thus full marks is 40

8 0
2 years ago
Whats the vertex of a parabola?<br> Round to the nearest hundredth.
olya-2409 [2.1K]

Answer:

To get the x-intercept we need the equation of the parabola;

the vertex form of the equation is given by:

y=a(x-h)^2+k

where:

(2,13) is the vertex:

Therefore;

y=a(x-2)^2+13

when x=0, y=5

Therefore the value of a will be:

5=a(0-2)^2+13

5-13=4a

4a=-8

a=-2

therefore the equation of the parabola will be:

y=-2(x-2)^2+13

y=-2x^2+8x+5

the x-intercept will be:

x=2-sqrt(7.5)

or

x=2+sqrt(7.5)

Step-by-step explanation:

4 0
3 years ago
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Nana76 [90]

Answer: to understand this we need a picture of the triangle, but without it I know that the only answer that is correct is the 3rd

Step-by-step explanation:

5 0
2 years ago
Which expression represents the number of feet that are in x yards?
MAXImum [283]
Which expression represents the number of feet that are in x yards?


The conversion fact is 3 feet = 1 yard.So 

1 yard = 3 feet 
2 yards = 2(3 feet)
3 yards = 3( 3 feet)

Thus, x yards would equal 3x feet.... 

Answer: C. 3x 


5 0
2 years ago
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