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stellarik [79]
3 years ago
11

Which equation, in point-slope form, passes through (-2, 4) and has a slope of 3?

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

y=-2-3x

Step-by-step explanation:

Point-slope form: y-y1=m(x1-x)

In this problem, -2 is x1 and 4 is y1.

As always, m is the slope: 3.

Hence, plug these values into the equation.

y-4=3(-2-x)

Distribute the 3: 3(-2-x)= -6-3x

Now we have y-4=-6-3x

Because we want the y by itself, add 4 to each side of the equation.

y-4=-6-3x

  +4 +4

    y=-2-3x

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You have ​$95 in your bank account. Each week you plan to deposit ​$9 from your allowance and ​$10 from your paycheck. The equat
kotykmax [81]

Answer:

7 weeks

Step-by-step explanation:

b​=95+(10+9​)w

Combine like terms

b​=95+(19​)w

Let b = 220

220 = 95 + 19w

Subtract 95 from each side

220-95 = 19w

125 = 19w

Divide each side by 19

125/19 = w

6.578947368

Round up

After 7 week

8 0
3 years ago
as a sales person at Trending Card Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sel
Amiraneli [1.4K]

Answer:

  $1025

Step-by-step explanation:

We can use the 2-point form of the equation of a line to write a function that gives Justin's salary as a function of his sales.

We start with (sales, salary) = (400, 500) and (700, 575)

__

The 2-point form of the equation of a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  salary = (575 -500)/(700 -400)(sales -400) +500

  salary = 75/300(sales -400) +500

For sales of 2500, this will be ...

  salary = (1/4)(2500 -400) +500 = (2100/4) +500 = 1025

Justin's salary after selling $2500 in merchandise is $1025.

5 0
3 years ago
What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?
Gala2k [10]
(7,-8)(-4,6)
slope = 6 - (-8) / (-4 - 7) = (6 + 8) / -11 = -14/11

point slope : y - y1= m(x - x1)
(-4,6)...x1 = -4 and y1 = 6
now we sub
y - 6 = -14/11(x - (-4) =
y - 6 = -14/11(x + 4) <===
5 0
2 years ago
Read 2 more answers
ASAP please help!!!
Serggg [28]
Y+4<u><</u>9
subtract 4
y<u><</u>5
y is smaller than and equal to 5
so you shade from 5 to the negative end to infinity (to the left) and shade the 5 to show that it is included (attachment says A)







6 less than (-6) 2 times a number (2 time x) is greater than (>) 8 (8)

-6+2x>8
add 6
2x>14
divide 2
x>7
so
x is bigger than 7
shade from 7 to the positive end to infinity (to the right) and don't shade 7 but put a circle around it to show that it is not included (attachment says B )

I have included pictures of the number lines

4 0
3 years ago
Find s in the parallelogram
adell [148]

Answer:

Step-by-step explanation:

DE=DG

8s-97=3s-22

5s-97=-22

5s=75

s=15

8 0
2 years ago
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