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3 years ago

Write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is y=-2x+7

Hope this helps!

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3 years ago

Find the surface area of a right square pyramid with base edge length 2 feet and height 5 feet.

zhenek [66]

Answer:

24.4 sq. ft.

Step-by-step explanation:

Area of a right square pyramid is:

A = a^2 + 2(a)*square root of ((a^2/4) + b^2)

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3 years ago

How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x

VARVARA [1.3K]

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

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$g(x) = 2^x - 4$

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3 years ago

Find f(2) if f(x) = (x + 1)2. 1. 9 2. 6 3. 5

kolezko [41]

Answer: f(2) = 6

Step-by-step explanation: In this problem, we are given the function

f (x) = (x + 1) 2 and we are asked to find f(2). In other words, if we put an "x" into our function, we get a (x + 1) 2 out.

f we put a 2 into the function, we get f(2) = (2 + 1) 2 out. Now all we have to do is simplify on the right side.

2 + 1 gives us 3 and if we multiply 3 by 2, we get a product of 6.

Therefore, f(2) is 6.

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4 years ago

The table below shows the quantities of onions consumed

Grace [21]

Answer:

The graph is attached

Step-by-step explanation:

Th table that shows the quantities of onions consumed (in kilogram) over 5 weeks by a person is as follows: (see the attached file)

Plot the points $(1,1),(2,2),(3,3),(4,4),(5,5)$ on the graph.

(see the attached file)

Download docx

docx

pptx

6 0

3 years ago