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never [62]
3 years ago
8

What is the slope intercept form if an equation with a slope of 8 and a y- intercept of -3

Mathematics
1 answer:
Elza [17]3 years ago
6 0
Answer: y=8x-3

explanation:
y=mx+b
m= slope
b= y intercept

m=8 b=-3
y=8x-3
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What is the standard form of the equation of a line for which the length of the normal segment to the origin is 8 and the normal
jeka57 [31]
Slope of line = tan(120) = -tan(60) = - √3
Distance from origin = 8

Let equation be Ax+By+C=0
then -A/B=-√3, or
B=A/√3.
Equation becomes
Ax+(A/√3)y+C=0

Knowing that line is 8 units from origin, apply distance formula
8=abs((Ax+(A/√3)y+C)/sqrt(A^2+(A/√3)^2))
Substitute coordinates of origin (x,y)=(0,0)  =>
8=abs(C/sqrt(A^2+A^2/3))
Let A=1 (or any other arbitrary finite value)
solve for positive solution of C
8=C/√(4/3) => C=8*2/√3 = (16/3)√3

Therefore one solution is
x+(1/√3)+(16/3)√3=0
or equivalently
√3 x + y + 16 = 0

Check:
slope = -1/√3  .....ok
distance from origin
= (√3 * 0 + 0 + 16)/(sqrt(√3)^2+1^2)
=16/2
=8  ok.

Similarly C=-16 will satisfy the given conditions.

Answer  The required equations are
√3 x + y = ± 16 
in standard form.

You can conveniently convert to point-slope form if you wish.




4 0
3 years ago
Is 42.9 a rational number
Elan Coil [88]

Answer:

Yes.

Step-by-step explanation:

What is a rational number?

A whole number, fraction, terminating or recurring decimal.

42.9 = 429/10 which is a fraction.

So it's rational.

3 0
3 years ago
I need help with INTERIM CHECKPOINT problem
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The answer is d I think.
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2 years ago
A mountain climber is at an elevation of 10,712 feet. After 4 hours, he is at an elevation of 8,884 feet. Find the climber’s ver
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I am not sure about the formula but if you subtract 8,884 from 10,712 you get 1,828. Then, if you divide that by 4 you get 457. 457 fph(feet per hour) should be the climbers vertical speed.
5 0
3 years ago
Please help asap! brainliest to best answer! how do you do this???? and what are the answers!
Angelina_Jolie [31]

Answer:

8953.5 seconds

Step-by-step explanation:

Since the challenger descends at a rate of 4 feet per second, divide 35,814 by 4 to get the answer

8 0
2 years ago
Read 2 more answers
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