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soldier1979 [14.2K]
3 years ago
7

What is an equation of the line that passes through the points (4,1) and (8, -3)?

Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0

Answer:

y=-x+5

Step-by-step explanation:

first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)

here are the given points: (4,1) and (8,-3)

label the points:

x1=4

y1=1

x2=8

y2=-3

now substitute into the equation

m=(-3-1)/(8-4)

m=(-4)/4

m=-1

the slope of the line is -1.

Now, use slope-point form, which is y-y1=m(x-x1)

substitute the numbers into the equation

y-1=-1(x-4)

do distributive prop

y-1=-x+4

add 1 to both sides

y=-x+5

the equation of the line is y=-x+5

hope this helps :)

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The y-intercept of the line whose equation is 3x + 2y = 7 A)-3/2 B)7/3 C)7/2
sp2606 [1]

Answer:

C

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 )

Rearrange 3x + 2y = 7 into this form

Subtract 3x from both sides

2y = - 3x + 7 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{7}{2} ← in slope- intercept form

with y- intercept c = \frac{7}{2} → C

6 0
3 years ago
HELP SUPER FAST PLS
givi [52]

Answer:

GCF = 5

Step-by-step explanation:

15x² - 10x + 5

x is not contained in all 3 terms thus is not a factor

15 has factors 1, 3, 5, 15

- 10 has factors ± 1, ± 2, ± 5 , ± 10

5 has factors 1, 5

The common factors are 1, 5

Then GCF = 5

6 0
3 years ago
Page 7:
borishaifa [10]

Answer:

p, m, n.

Step-by-step explanation:

It is given that,

n=p(m)

Here, p is the name of the function and its variable is m which is independent.

Independent variable : Whose value does not depend on another variable.

Dependent variable : whose value depends on the another variable.

Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.

∴ If n = p(m), p is the function name, m is the independent variable,  and n is the dependent variable.

8 0
3 years ago
Is 5 1/2 in the set of integers, whole numbers, both or neither
SCORPION-xisa [38]
Neither. Because an integer & a whole number are the same things & 5 1/2 is a fraction.
3 0
3 years ago
Y = (x - 1)2 – 6<br>y = 4x + 10<br>Answer As Corrdinates <br><br>PLEASE HELP ​
AleksAgata [21]

Answer:

(-9, -26)

Step-by-step explanation:

y = (x - 1)2 - 6 and y = 4x + 10

Since they are both y =, you can set the two equations equal to each other:

(x - 1)2 - 6 = 4x + 10

2x - 2 - 6 = 4x + 10

-2 - 6 = 2x + 10

-8 = 2x + 10

2x = -18

x = -9

Check:

y = (x - 1)2 - 6

y = (-9 - 1)2 - 6

y = -18 - 2 - 6

y = -26

y = 4x + 10

y = 4 (-9) + 10

y = -36 + 10

y = -26

The answer to these equations is (-9, - 26). If you graph this, this is the point where the two graphs intersect.

5 0
3 years ago
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