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zalisa [80]
3 years ago
12

Equation of a line that passes through (2,-3) with the slope of 1/2

Mathematics
2 answers:
Irina18 [472]3 years ago
7 0
In point slope form:
y+3=1/2(x-2)

In slope intercept
y= 1/2x-4
Mashcka [7]3 years ago
7 0
The equation fo a line that passe sthrout the point (x1,y1) and having a slope of m is
y-y1=m(x-x1)
given

point i (2,-3) and slope is 1/2
y-(-3)=1/2(x-2)
y+3=1/2(x-2)
y+3=1/2x-1
y=1/2x+2

y=1/2x+2 or y+3=1/2(x-2) or x-2y=-2
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Can someone please help me :)
gavmur [86]

Answer:

<em>90 degree</em>

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

7 0
3 years ago
If y varies directly as x and y = 12 when x = 8, find y when x = 14.
Alex17521 [72]
The direct variation between x and y may be written as,
                                    y = kx
where k is the constant of variation. From the first set of values of the variables,
                                 12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
                                 y = 1.5(14) 
The value of y is 21. 
8 0
3 years ago
Write the equation of the line through the indicated point with the indicated slope. write the final answer in the form y equals
Assoli18 [71]

y = - 4x + 13


slope = -4

y-intercept = 13

8 0
3 years ago
Please help with algebra
Elodia [21]
Let x = small number
y=large numebr


x+y = 90
y-4x=15

substitute
we get:

x=21
y=90-21 = 69
5 0
3 years ago
Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of
GaryK [48]

Answer:

A= −3x+30

A=30 when x=0  which is the y−intercept.

(0,30) is a point on the graph

A=12 when x=6.

Find the slope using the two points

12-30/6-0= -18/6=-3

 

3 0
4 years ago
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