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jolli1 [7]
3 years ago
5

Write various of the equation of a line that passes through (-6, 3) and has a slope of - 1/3

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

\large\boxed{y-3=-\dfrac{1}{3}(x+6)-\text{point-slope form}}\\\boxed{y=-\dfrac{1}{3}x+1-\text{slope-intercept form}}\\\boxed{x+3y=3-\text{standard form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have

m=-\dfrac{1}{3},\ (-6,\ 3)\to x_1=-6,\ y_1=3

Substitute:

y-3=-\dfrac{1}{3}(x-(-6))\\\\y-3=-\dfrac{1}{3}(x+6)

Convert to the slope-intercept form

y=mx+b

y-3=-\dfrac{1}{3}(x+6)           <em>use the distributive property</em>

y-3=-\dfrac{1}{3}x-2           <em>add 3 to both sides</em>

y=-\dfrac{1}{3}x+1

Convert to the standard form

Ax+By=C

y=-\dfrac{1}{3}x+1           <em>multiply both sides by 3</em>

3y=-x+3             <em>add x to both sides</em>

x+3y=3

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a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the
zzz [600]

Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

       A = 2(wl + wh + hl)

2) Input the corresponding values l=15 cm; w=22 cm; and h=9 cm into the equation, and solve for the area

       A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}

3) ∴ A=1326cm^2

5 0
1 year ago
Can anyone please help me with this? I don't know how to do it.
ycow [4]

Answer:


Step-by-step explanation:

The easiest way to fill out the graph is to find the slope.

The slope is y = 2x + 1.

Insert the x values of the graph for x in the equation to find y.

y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).

y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).

Then, for finding x, just insert y.

1 = 2x + 1. Subtract 1 from both sides to isolate x.

0 = 2x. x = 0. (0, 1).

y = 2(2) + 1 = 4 + 1 = 5. (2, 5)

3 = 2x + 1. Subtract 1 from both sides.

2 = 2x. x = 1. (1, 3).

The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.

4 0
3 years ago
What is 5(x+10)+x simplified
vova2212 [387]
5x + 50 +x
= 5x*2( square ) + 50
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3 years ago
Read 2 more answers
What is the slope of a line that contains the two points (0, 3) and (4, 5)?
Anika [276]

The formula for slope is (y2 -- y1) / (x2 -- x1).

(0,3) (4,5)

5 - 4 = 1

3 - 0 = 3

So the slope is 1/3.

Hope this Helps!!


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3 years ago
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