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zepelin [54]
3 years ago
6

A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?

Mathematics
2 answers:
atroni [7]3 years ago
7 0

Answer:

y = 4x - 7

Step-by-step explanation:

y = mx + b

y = 4x + b

1 = 4(2) + b

b = 1 - 8

b = -7

y = 4x - 7

Law Incorporation [45]3 years ago
6 0

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4    (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

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Answer:

The equivalent expressions are:

b1=\frac{2a}{h}-b2

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Step-by-step explanation:

Given equation for finding area of a trapezoid:

a=\frac{1}{2}(b1+b2)h\\

where a represents area, h represents height and b1\ and\ b2 represents the base lengths of the trapezoid.

Evaluating h by rearranging the equation to find an equivalent equation.

Multiplying both sides by 2.

2\times a=2\times\frac{1}{2}(b1+b2)h

2a=(b1+b2)h

Dividing both sides by b1+b2

\frac{2a}{b1+b2}=\frac{(b1+b2)h}{b1+b2}

\frac{2a}{b1+b2}=h

\therefore h=\frac{2a}{b1+b2}

Evaluating b1 by rearranging the equation to find an equivalent equation.

Multiplying both sides by 2.

2\times a=2\times\frac{1}{2}(b1+b2)h

2a=(b1+b2)h

Dividing both sides by h

\frac{2a}{h}=\frac{(b1+b2)h}{h}

\frac{2a}{h}=b1+b2

Subtracting both sides by b2

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\frac{2a}{h}-b2=b1

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8 0
3 years ago
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3 years ago
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marissa [1.9K]

Answer:

a) see below

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Step-by-step explanation:

Write down what you know:

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- The length of the fencing is 80 meters, so

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Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

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Then substitute for y in the first:

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