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Vilka [71]
3 years ago
12

What is the equation of the line with a slope of 3/4 that goes through the point (4,1) in slope-intercept form ?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

The slope-point form of a line:

y-y_0=m(x-x_0)

We have

m=\dfrac{3}{4}\\\\(4,\ 1)\to x_0=4,\ y_0=1

Substitute:

y-1=\dfrac{3}{4}(x-4)

The slope-intercept form:

y=mx+b

Solve for y:

y-1=\dfrac{3}{4}(x-4)\qquad|\text{use distributive property}\\\\y-1=\dfrac{3}{4}x-3\qquad|\text{add 1 to both sides}\\\\y=\dfrac{3}{4}x-2

Answer: D.

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bekas [8.4K]


51-11=40 minutes

48-29=19

40+19= 59 minutes

I hope that helped. :)

7 0
3 years ago
What is the slope of the line through (-1,8) and (3,-4)?
laila [671]

Hey there!!

How do we find slopes ?

Slope = \frac{y2-y1}{x2-x1}

We are given with two co-ordinates :

(-1,8) and (3,-4)  

Hence, the slope is :

\frac{-4-8}{3+1}

... \frac{-12}{4} = -3

The slope is -3.

Hope my answer helps!

4 0
3 years ago
You use 4 gallons of water on 14 plants in your garden.At this rate, how much water will it take to water 35 plants?
Naddika [18.5K]

For this case we can make the following rule of three:

4 gallons --------------> 14 plants

x --------------------------> 35 plants

From here, we clear the value of x.

We have then:

x = (\frac{35}{14}) * (4)\\x = 10

therefore, 10 gallons are needed to irrigate 35 plants.

Answer:

it will take 10 gallons to water 35 plants

6 0
3 years ago
Read 2 more answers
4 students equally share 2/3 of a pizza
oee [108]

\frac{2}{3} *4

=\frac{2*4}{3}

=\frac{8}{3}

2.67 or 2 \frac{2}{3}

6 0
3 years ago
Please help me I will give BRAINLIST and a like :))))
Vlada [557]

Answer:

18.75%

Step-by-step explanation:

Hello,

3 students are both female and senior

the total number of students is 7+10+8+5=30

so the probability to select one female senior is 3/30=1/10=0.10

probability to select one female is 16/30=16/30

probability that the student is a senior given that it's female is

=P(female and senior)/P(female)

=1/10*30/16=3/16

hope this helps

5 0
3 years ago
Read 2 more answers
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