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stepan [7]
2 years ago
14

What is the equation, in slope-intercept form, of the line

Mathematics
1 answer:
Serga [27]2 years ago
3 0

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is \frac{3-2}{-1-2}=-\frac{1}{3}

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}

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Find the equation of the line passing through the points A(3,2) and B(6,3)
icang [17]

Answer:

y = \frac{1}{3} x+1

Step-by-step explanation:

m = m = \frac{change in y}{change in x} \\m = \frac{3 - (2)}{6 - (3)}\\m = \frac{1}{3} \\Find the value of b using the equation of a line \\y = mx+b\\y =( \frac{1}{3} )x + b\\2 =( \frac{1}{3} ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = \frac{1}{3} x + 1

5 0
3 years ago
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Makovka662 [10]
The Jasmine result is the good one because 1 mégas meter=1 000 000
3 0
3 years ago
Solve the math problem please
koban [17]

Answer:

Option D

Step-by-step explanation:

Collect all like terms and Calculate

-10x-7x= -17x

20-54= -34

Divide

-17x < -34

x>2

6 0
3 years ago
Read 2 more answers
If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is
mafiozo [28]

Answer:

y ≥ 8

Explanation:

Note that if f(x) is transformed into f(x + a) - b

The original functions is shifted a units to the left and b units downward.

Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.

From the given, g(x) is the transformation of f(x) with

g(x)=f(x+2)-3_{}

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.

Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.

y ≥ 11 - 3

The answer is y ≥ 8

3 0
1 year ago
Which set of graphs can be used to find the solution set to 3e* &gt; &gt;-x?
kobusy [5.1K]

The attached graph represents the solution set of 3e^x > \frac 12^x

<h3>How to determine the graph?</h3>

The complete options are not given.

So, I would plot the graph that represents the solution set

The inequality is given as:

3e^x > \frac 12^x

Start by splitting the inequalities as follows:

f(x) > 3e^x

g(x) > \frac 12^x

The above means that we plot the graphs of f(x) and g(x) to represent the solution set

See attachment

Read more about inequalities at:

brainly.com/question/25275758

#SPJ1

7 0
2 years ago
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