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Serggg [28]
3 years ago
12

A line has a gradient of 4 and passes through the post (1,7). what is the equation?

Mathematics
2 answers:
shusha [124]3 years ago
7 0

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Lostsunrise [7]3 years ago
3 0

Answer:

y = 4x + 3

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 )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

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An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile
Shtirlitz [24]
First you have to figure out the length of the track:

2 * \pi * r

r is the half of the diameter:
200ft : 2 = 100ft

2* \pi *100ft = 200\pi≈ 628,31

The athlete has to run ca. 5280ft for one mile:

5280 : 628,31≈8,4

The athlete has to run 8,4 laps
3 0
3 years ago
Rex drove 258.5 miles in 5.5 hours. what is his average rate of speed?
marta [7]

answer:

47

Step-by-step explanation:

258.5/5.5=47

3 0
2 years ago
Which of the following statements is TRUE? a. If your original creditor (ex: credit card company) sells your debt to a collectio
nikitadnepr [17]

Answer:

the answer is d

Step-by-step explanation:

i just know its fine.

8 0
3 years ago
Read 2 more answers
Angelica's salary this year is 14% higher than it was four years ago. If she earns $46,170.00 this year, what did she earn four
Alona [7]

Answer:

D. $39,706.20

Step-by-step explanation:

In this problem, you are subtracting 14%. A way you could do this is buy finding 14% of $46,170.00, then subtracting that from itself. Or instead, you could find 86%. This works because its like your subtracting 14% from the whole 100%. so 100 - 14 = 86.

Method 1:

$46,170.00 x 0.14 = 6463.8

$46,170.00 - 6463.8 = 39706.2

Method 2:

100 - 14 = 86

$46,170.00 x 0.86 = 39706.2

either way the answer is still correct. i hope this make sense and that it helps you!

5 0
2 years ago
"let v be the event that a computer contains a virus, and let w be the event that a computer contains a worm. suppose p(v) = 0.1
morpeh [17]

Here we might have to find p(v intersection w) and for that we use the following formula

p(v U w) = p(v)+p(w)-p(v intersection w)

And it is given that p(v) =01.3 , p(w) = 0.04 and p(v U w ) = 0.14 .

Substituting these values in the formula, we will get

0.14 = 0.13 +0.04 -p(v intersection w)

p(v intersection w) =0.13 +0.04 -0.14 = 0.03

So the required answer of the given question is 0.03 .

7 0
2 years ago
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