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AlladinOne [14]
2 years ago
9

Write the equation of the line that passes through the points (1,-7)(1,−7) and (-6,-9)(−6,−9). Put your answer in fully reduced

point-slope form, unless it is a vertical or horizontal line.
Mathematics
2 answers:
BlackZzzverrR [31]2 years ago
7 0

Answer:

6x+6)(6+4)

Step-by-st(ep explanation:

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ruslelena [56]2 years ago
5 0

Answer:

y+7=2/7x-2/7

Step-by-step explanation:

So we first want to find the slope. It's calculated by taking the difference in y values and dividing it by the difference in x values.

-9-(-7)/-6-1

=-9+7/-7

=-2/-7

=2/7.

This is the m in the point-slope equation.

Next, we just plug in the points. We only need 1 point so I will use the (1,-7)

y-y1=m(x-x1)

y-(-7)=2/7(x-1)

y-(-7)=2/7x-2/7

y+7=2/7x-2/7

I've never really seen fully reduced point-slope form, but I'm assuming the above is it because if I keep simplifying it's going to turn into slope-intercept form.

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Can anyone help me convert this to standard form? It can’t have decimals or fractions.
Allisa [31]
Find b of y = mx + b first using a modified version of the equation.

b = y - mx
b = -1 -(1.2×-3)
b = 13/5 = 2.6

y = 1.2x + 2.6 ← result of substituting values of m and b into y = mx + b

-1.2x + y = 2.6 ← result of subtracting 1.2x from both sides

12x - 10y = -26 ← result of multiplying previous equation by -10

6x - 5y = -13 ← result of dividing previous equation by 2

ANSWER: 6x - 5y = -13
5 0
3 years ago
1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):
Aleksandr [31]

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


1.5x=3


x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




5 0
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Step-by-step explanation:

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8 0
3 years ago
Patrick earns $40 per hour. He earned an extra $1000 for working on a special project. His pay check for the month was 7420. How
Likurg_2 [28]
Patrick worked 160.5 hours because you have to subtract 1000 from 7420 then divide that by 40 for your answer. Also, Patrick has a sweet job.
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Which of these is a solution to the equation 1/8=2/5times x
Mumz [18]
15/16 as a fraction or 3.125 as a decimal
5 0
2 years ago
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