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NISA [10]
2 years ago
13

A is the point (2, 3) and B is the point (7,-5).Find the equation of the line

Mathematics
2 answers:
madam [21]2 years ago
5 0

Step-by-step explanation:

Find the gradient of AB

-2.5

Find the gradient of perpendicular

0.4

Make the equation

y= 0.4x + c

Apply point A

3= 0.4*2+c

3-0.8= c

c= 2.2

y= 0.8x + 2.2

pshichka [43]2 years ago
5 0

Answer:

y=0.625x+1.75

Step-by-step explanation:

The equation of the line that goes through (2, 3) and (7, -5) needs to be found before finding the equation perpendicular to it. The formula y=mx+c will be used for finding this equation.

Calculating the slope between the data points:

m1=\frac{3-(-5)}{2-7}=\frac{8}{-5}=-1.6

Finding the first y-intercept:

y=mx+c

c=y-mx

c=3-(-1.6*2)=3+3.2=6.2

The equation for the line that goes through the points is:

y=-1.6x+6.2

The perpendicular slope will be the opposite reciprocal of the original slope.

The second slope is found by first multiplying the first slope (m1) by -1:

m2=m1*-1=-1.6*-1=1.6

Then by taking the reciprocal:

m2=\frac{1}{1.6} =0.625

The second equation must have an intercept that goes through point A:

c=y-mx

c=3-(0.625*2)=3-1.25=1.75

The perpendicular equation is:

y=0.625x+1.75

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2(x – 2) + 6 = 0 <br> can anyone tell me the answer with steps please
Andrews [41]

Answer:

x = -1

Step-by-step explanation:

2(x – 2) + 6 = 0

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5 0
3 years ago
A company charges $10 for shipping and $7 per shirt.
djverab [1.8K]

Answer:

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Step-by-step explanation

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6 0
3 years ago
The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are
arsen [322]

Answer:

  16 cm^2 and 49 cm^2

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions, so is ...

  (4/7)^2 = 16/49

The sum of these "ratio units" is 16 +49 = 65. The sum of triangle areas is 65 cm^2, so each "ratio unit" must stand for 1 cm^2 of area. That is, the triangles must have areas of ...

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3 0
3 years ago
Read 2 more answers
PLEASE HELP! IM A MONTH BEHIND IN MATH AND FREAKING OUT T^T PLZZZZ
ANTONII [103]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is  y = 1x + 48
Make standard form.
<span>x - y = -48
</span><span>b) make a table and plot points for the first 7 hours
Table Is attached.
Good Luck!
If you like the answer please give me brainliest answer!
</span>

3 0
3 years ago
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