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goblinko [34]
3 years ago
7

Need help with this one as well I would be very grateful please need help !

Mathematics
1 answer:
hram777 [196]3 years ago
8 0
You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.

m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25

Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m"  the linear equation looks like this:
y = 0.25x + b

Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)

45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b

Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.

Final equation is:
y = 0.25x + 20

Part B.) If 939 minutes are used. Just put that in for x and solve for y.

y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75

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2x-3y=9<br> Find slope-<br> x-intercept-<br> y-intercept-
Readme [11.4K]

get the equation in slope intercept form

2x-3y=9

subtract 2x from each side

-3y = -2x +9

divide by -3

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y intercept = -3

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What is the slope of the line passing through the points
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Hello!

Answer:

\boxed{2}

Step-by-step explanation:

Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{1-(-5)}{4-1}=\frac{6}{3}=2

Therefore, the slope is 2, which is our final answer.

Hope this helps!

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How to solve the proportion
Bezzdna [24]
So you want to cross multiply. then it would be 3x=25 then divide by 3 isolating x. x=25/3
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Why is the answer B? Plz explain.
sergeinik [125]
For line l to intersect line m at point (2, 1/2), line m must have the point (2,1/2) on its graph. It is implied that line l already has the point (2, 1/2). If line m does not have it, then there will be no intersection at that specific point.

Try checking every choice to see if it has point (2,1/2) on the graph.
Note that (x,y) = (2,1/2); check by using x=2 and y=1/2.

For A,

   2x = y/2
   2(2) = (1/2) / 2
   4 <span>≠ 1/4
</span>
Cannot be choice A as it results in a false equation; this choice will not go through (2,1/2)

For B:

   2y = 3 - x
   2(1/2) =  3 - 2
   1 = 1

This is a true equation so the point (2,1/2) is on the graph of 2y=3-x. This means that if this is the equation for line m, then line m will have a point at (2,1/2) and therefore intersect with line l. Therefore, B is the answer.

The rest of the choices are false as shown:

For C:
 
   2x + 4y = 8
   2(2) + 4(1/2) = 8
   4 + 2 = 8
   6 ≠ 8

Cannot be choice C as it results in a false equation; this choice will not go through (2,1/2)

For D:

   y = 4 - (5/4)x
   1/2 = 4 - (5/4)(2)
   1/2 = 4 - 5/2
   1/2 = 8/2 - 5/2
   1/2≠ 3/2

Cannot be choice D as it results in a false equation; this choice will not go through (2,1/2)
4 0
3 years ago
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