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Artemon [7]
3 years ago
10

A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. The value of x is____,

and the value of y is _____.
Please help I've seen this problem on this website before but no one actually answered I know it's probably very simple to get the answer but I don't know how could someone tell me how to or answer it please thanks?
Mathematics
1 answer:
Pie3 years ago
5 0
Use the equation y = mx +c
y = 2/3x +c              Substitute the slope (m) in
5 = 2/3(-2) +c          Substitute the point (-2,5)
5 = -4/3 +c               Make C the subject
c = 19/3

y = 2/3x + 19/3        This is the equation of the line.

Next you start subbing the points A and B in separately, using the same equation.

Subbing A(x, 3)
3       = 2/3x + 19/3         Make x the subject to find it.
-10/3 = 2/3x
     -5 = x

The point A is (-5,3)

Subbing B(-2, y)
y = 2/3(-2) + 19/3           y is already the subject and you just solve it
   = -4/3 + 19/3
y = 5

The point B is (-2, 5)

<span>I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<</span>
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3 0
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What is the perimeter of the triangle
KengaRu [80]

The perimeter of the triangle is 40 units

<h3>Perimeter of a triangle</h3>

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the<em> Pythagorean theorem </em>

Let the hypotenuse be h

Then,

h² = 15² + 8²

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h = √289

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Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

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Hence, the perimeter of the triangle is 40 units

Learn more on Calculating perimeter here: brainly.com/question/17394545

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