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Umnica [9.8K]
3 years ago
13

Write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1, 2)

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

C. y = 3/5x + 13/5

Step-by-step explanation:

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Line Equation from Two Points
Verdich [7]

Hi!

We can use <u>point-slope form </u>to solve this.

y-y_{1} =m(x -x_{1})

y_{1}<em> and </em>x_{1}<em> will be from one of the points.</em>

<u>First, we have to find </u>m<u>, the slope. We can use the slope equation to get this.</u>

\frac{y_{1} -y_{2} }{x_{1} -x_{2} }

<em>Plug in your points:</em>

\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}

Your slope is \frac{1}{4}

<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

y-4=\frac{1}{4} (x-8)

Now, if you want to get it into y = mx + b form, you have to solve for y:

y-4=\frac{1}{4} (x-8)

y-4=\frac{1}{4} x-2

y=\frac{1}{4} +2

Your equation is y=\frac{1}{4} +2

<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>

brainly.com/question/986503

7 0
2 years ago
What does coincides mean in geometry
Marianna [84]

Answer:

Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, only you can't see them both, because they are on top of each other.

Step-by-step explanation:

7 0
3 years ago
Edward's cake recipe calls for 15 3/4 cups of flour and
rodikova [14]
Cups of flour=15  3/4=15+ 3/4=(4*15+3)/4=63/4
Cups of sugar=10  1/2=(2*10+1)/2=21/2

We solve this problem by rule of 3:

63/4 cups of flour--------------100 people
x------------------------------------ 25 people

x=(63/4 cups of flout * 25 people)/100 people=1575/400 cups of  flour=
=63/16=(3*16+15)/16=3  15/16  cups of flour.

21/2 cups of sugar-----------------100 people
x-----------------------------------------25 people

x=(21/2 cups fo sugar * 25 people) / 100 people=525/200 cups of sugar= 21/8 =(2*8+ 5)/8=2   5/8 cups of sugar.

Answer:  3  15/16  cups of flour and 2  5/8 cups of sugar.
8 0
3 years ago
Callie has 6 yards of green fabric and 4 yards of white fabric.
DedPeter [7]

Answer:

16 feet left

Step-by-step explanation:

one yard = 3 feet

so:

6 yards = 18 feet

24 inches = 2 feet

18 feet - 2 feet = 16 feet

7 0
3 years ago
Amanda, Boris, and Jose sent a total of 124 text messages during the weekend. Amanda sent 8 fewer messages than Jose
GrogVix [38]

Answer:

Amanda= 14

Boris = 88

Jose= 22

Step-by-step explanation:

Amanda= jose-8

Boris = 4×jose

Jose= Jose

total all = 124

(jose-8)+(jose×4)+(jose)= 124

so we substitute jose with X .

(X-8)+(4X)+(X)=124

6X-8= 124.

6X=124+8

X=132/6

X= 22.

so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.

7 0
3 years ago
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