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choli [55]
3 years ago
10

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

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X=-4 +6+ (11 +4(-3))
lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

4 0
2 years ago
Solve the inequality.
serious [3.7K]

Answer:

z<95

Step-by-step explanation:

z/5<19

5×7/5<5×19

z<95

7 0
3 years ago
On simplifying (-342-8) - (-5/2 + 1)
icang [17]

Answer:

-348.33

Step-by-step explanation:

Use PEMDAS as your guide.

(-342-8) - (-5/2+1)

PEMDAS

parenthesis

-350 - (-5/3)

PEMDAS

Dvisision

-350- (-1.67)

= - 348.33

Hope this is what your looking for!

5 0
3 years ago
Read 2 more answers
14 1/6 - 7 1/3 in simplest form <br> Help plz
Firdavs [7]

Answer: 7 -1/6

Step-by-step explanation:

Multiply the denominator and numerator (1/3) by 2 to get 2/6, then do 1/6-2/6, which gives you a negative. Then subtract your whole numbers (14-7) to get 7 -1/6

7 0
3 years ago
Read 2 more answers
Use the equation, 16^2x=32^(x+3), to complete the following problems.
olga55 [171]

Answer:

x = 5

Step-by-step explanation:

2⁴(2x) = 2⁵(x + 3)

2^8× = 2^5x + 15

cancel out the 2

8x = 5x + 15

8x - 5x = 15

3x = 15

divide through by 3

x = 5

8 0
3 years ago
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