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finlep [7]
3 years ago
14

What is the equation of a line passing through the point (a, b) and having a slope of b?

Mathematics
2 answers:
iren [92.7K]3 years ago
6 0
From the slope form of a line;
\frac{y-b}{x-a} =b
y-b=bx-ab
y=bx-ab+b
y=bx-b(a-1)
zvonat [6]3 years ago
5 0

Answer:

The equation is y-a= b(x-b)

Step-by-step explanation:

I use bold for the slope so you can differentiate the slope term b from the y coordinate value b.

The equation of a line passing through a specific point and having a specific slope can be obtained using the point slope form of a line :

y-y1=m(x-x1) where m is the slope and (x1,y1) is your specific point.

So replacing your values, the point  (x1,y1) =(a,b) and m=b, in this equation we havE:

y-a= b(x-b)

That can be expressed in point slope form and explicit for as.

y = b(x-b) + a = bx -bb +a =

y= bx + (a -bb)

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Leokris [45]
99/33= 3

All you need to do is divide the real soccer felid by the scale drawing. Don't let the meters and the millimeters confuse you- it will still give you the right scale even though they are different units of measure. 

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I hope this helps!
<em>~kaikers</em>


3 0
3 years ago
Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
docker41 [41]
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

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3 years ago
A line passes through the point (-4,7) and has a slope of 5/2.
hoa [83]

Answer:

(9,20)

Step-by-step explanation:

9 and 20 together... (9,20)

8 0
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Elodia [21]

Answer:

is this answer correct?

let me know in comment section below!

Step-by-step explanation:

hope you liked it!

3 0
2 years ago
Whats 318,224,475 rounded too the nearest ten.​
aivan3 [116]
318,224,480

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