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LuckyWell [14K]
3 years ago
7

Write an equation of the line that is parallel to y = 1/2 x + 3 and passes through the point (10, -5). A) y = 2x - 15 B) y = -2x

+ 15 C) y = - 1 2 x D) y = 1 2 x - 10
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

The equation of this line is D) y = 1/2x - 10

Step-by-step explanation:

In order to find this, we need to first find the slope. The slope of the equation will match the line it is parallel to. Since the first line has a slope of 1/2 (the coefficient of x), we know our new line will too. Now that we have that information start with the basic form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the point in for (x1, y1)

y + 5 = 1/2(x - 10)

Now solve the equation for y.

y + 5 = 1/2x - 5

y = 1/2x - 10


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Write the equation of a line in slope-intercept form that passes through the given points.
ruslelena [56]

Answer:

<h2>         y = 0.25x + 2</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, 2)    ⇒     x₁ = 0,  y₁ = 2

(-4, 1)     ⇒     x₂ = -4,  y₂ = 1

So the slope:

\bold{m=\dfrac{1-2}{-4-0}=\dfrac{-1}{-4}=0.25}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = 0.25

(0, 2)    ⇒     x₀ = 0,  y₀ = 2

Therefore:

               y - 2 = 0.25(x - 0)

               y - 2 = 0.25x                  {add 2 to both sides}

               y = 0.5x + 2          ←  the slope-intercept form of the equation

5 0
3 years ago
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Two hats, two t-shirts, and one jacket cost $141. Three hats, t
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Answer:

Step-by-step explanation:

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3 0
3 years ago
 Create a single polynomial of the factored form that meets the following criteria:
Dmitry_Shevchenko [17]

Answer:

ummmm m m

Step-by-step explanation:

,I think the answer would be 10

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3 years ago
List a positive and negative number whose absolute value is greater than 3. Justify your answer using the number line.
tino4ka555 [31]

Answer:

|5|, |-6|, |4|, |-3.5|...

Step-by-step explanation:

The absolute value is related with the distance between the number and the zero of the number line, then each number greater than 3 will have an absolute value greater than 3, as we can see in the picture, the numbers positive or negative will have a positive distance to the origin of the number line.

5 0
3 years ago
Kelly has 45 cookies. she plans on bringing 2/3 of the cookies to school to share with her class. how many cookies will she not
Svetllana [295]
If she is bringing 2/3 to school, then she is not bring 1/3
1/3 (45) = 45/3 = 15.....so she is not bringing 15 cookies

or u can do it this way...
she is bringing 2/3...
2/3(45) = 90/3 = 30 ....she is bringing 30
45 - 30 = 15....not bringing 15.
4 0
3 years ago
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