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Tamiku [17]
3 years ago
10

The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

y = 6x - 4

Step-by-step explanation:

(2, 8) & (1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - 8) / (1 - 2)

Simplify the parentheses.

= (-6) / (-1)

Simplify the fraction.

-6/-1

= 6

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 6x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 6(1) + b

To find b, multiply the slope and the input of x(1)

2 = 6 + b

Now, subtract 6 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 6x - 4

This is your equation.

Check this by plugging in the other point you have not checked yet (2, 8).

y = 6x - 4

8 = 6(2) - 4

8 = 12 - 4

8 = 8

Your equation is correct.

Hope this helps!

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The scale of a room in blueprint is 3in 5ft. A wall in the same blueprint is 18in. what are the actual room measurements?
QveST [7]

Answer:

Actual length of wall = 30ft

Step-by-step explanation:

We have scale of a room as 3 inch for 5ft.

We can write scaling factor as:

Scaling factor = 3 /60     (Since 5ft = 60 inches )

Scaling factor = 1/20

Now,

a wall in the blueprint is 18inch.

So actual length of wall can be determined by dividing 18 inch by the scale factor.

i.e actual length of wall = 18 / scale factor  = 18 / (1/20)

 actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)

Hence Actual length of wall = 30ft

5 0
3 years ago
Solve 5x+7 &gt; 17.<br> {x1x&lt;2}<br> O {XIX&gt; 2}<br> O {xIx&gt;-2}<br> O {x1x &lt; -2}
fgiga [73]

Answer:

The answer is x > 2

Step-by-step explanation:

to solve this inequality:

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8 0
1 year ago
9,600 divided by 10 to the power of 1
DochEvi [55]

Answer:

960

Step-by-step explanation:

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4 0
3 years ago
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How do i find the slope of a line that passes through a given point and is parallel or perpendicular to another given point?
elena-14-01-66 [18.8K]

There's no such thing as parallel or perpendicular "to a point".  A problem like that
will always want the new line to be parallel or perpendicular to another <em><u>line</u></em>.

-- If the new line is parallel to the given line, then they have the <em><u>same</u></em> slope.

-- If the new line is perpendicular to the the given line, then the slope of the
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In either case, you now have the slope of the new line and a point on it. 
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3 years ago
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In triangles ABC and WXY, a=w and b=x
allsm [11]

Answer:

C. AB = WX

Step-by-step explanation:

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct.

4 0
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