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Soloha48 [4]
2 years ago
12

Find the slope of a line parrallel to the line graphed

Mathematics
1 answer:
Nata [24]2 years ago
5 0
It is -2 Because it is the numBER that touches the line
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Determine the equation of each line
katovenus [111]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(a)

here m = - \frac{3}{4} and c = 6, hence

y = - \frac{3}{4} x + 6 ← equation of line

(b)

here m = 6, hence

y = 6x + c ← is the partial equation

to find c substitute (2, - 6 ) into the partial equation

- 6 = 12 + c ⇒ c = - 6 - 12 = - 18

y = 6x - 18 ← equation of line

(c)

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)

m = \frac{7-3}{4+1} = \frac{4}{5}, hence

y = \frac{4}{5} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 3 ), then

3 = - \frac{4}{5} + c → c = 3 + \frac{4}{5} = \frac{19}{5}

y = \frac{4}{5} x + \frac{19}{5} ← equation of line


3 0
3 years ago
Evaluate 7 sigma n=1 2(-2)^n-1
oksian1 [2.3K]
\[\sum_{n=1}^{7} 2(-2)^{n-1}\]
5 0
2 years ago
Read 2 more answers
What is 56.6 repeating when rounded to the nearest .1
vesna_86 [32]
56 6 repeating when rounded to the nerest .1 is 56.7
8 0
3 years ago
What is the greatest common factor "GCF" of 24x^2 y^3 z^4 + 18x^6 z - 36x^3 y^2
Leokris [45]

Answer:

6x^2

Step-by-step explanation:

4 0
3 years ago
ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least
Ymorist [56]
First find out how much he makes in 8 hours (9x8=72). Then subtract 72 from 155 (155-72=83). Then divide 83 by 6 (83/6=13.8333). Since 83 is not evenly divisible by 6, and since he can't deliver .8333 of a delivery, we would round up, giving us 14). Ben would need to make 14 deliveries in 8 hours to make more than $155 :) Hope this helps you :)
3 0
3 years ago
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