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const2013 [10]
2 years ago
9

Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

Mathematics
1 answer:
spayn [35]2 years ago
4 0

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

Step-by-step explanation:

Given two points are:

(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)

Slope intercept form of line is given as:

y = mx+b

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values

m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}

Putting the value of slope in slope-intercept form we get

y = \frac{1}{2}x+b

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2

Putting the value of b

y = \frac{1}{2}x-2

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

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jeka57 [31]

Answer:

Not larger or smaller; the areas are the same

Step-by-step explanation:

Recall that the formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

In the first case, h = 3 ft and b = 2.5 ft.  This results in an area of 3.75 ft^2.

In the second case, h = 2.5 ft and b = 3 ft.  The area is the same:  3.75 ft^2.

This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h  are used as multipliers.

There is no difference in the areas of the two signs.  The areas are the same.

5 0
3 years ago
last month Stephanie spent $57 on 4 allergy shots and 1 office visit .This month she spent $9 after 1 office visit and a refund
Sergeu [11.5K]

Visit $25 allergy shot $8

4a + 1v =57

-2a +1v= 9

I will multiply the second by -1 to cancel v variable (elimination method)

4a +1v =57

2a -1v = - 9

add both

6a. = 48

a= 8

4a= 32

32 + v = 57

v= 25

32+25 = 57

-16 +25=9

6 0
3 years ago
What is the quotient of(x^3+3x^2-4x-12
pogonyaev

Answer:MATHPAPA.COM

Step-by-step explanation:

3 0
2 years ago
What is the simplified form of √144x^36
Nadusha1986 [10]

Answer:

The simplified form of \sqrt{144x^{36}} is 12x^{18}

Step-by-step explanation:

Given : \sqrt{144x^{36}}

We have to write the simplified form of \sqrt{144x^{36}}

Consider the given expression \sqrt{144x^{36}}

We know \sqrt{144}=12

and \sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}

Thus,

\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}

Simplify, we have,

=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}

Thus, The simplified form of \sqrt{144x^{36}} is 12x^{18}

6 0
3 years ago
Read 2 more answers
What is the slope<br> A. Undefined <br> B. 0
Burka [1]
B. is the correct answer love
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3 years ago
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