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Mrrafil [7]
3 years ago
12

Find the equation (in terms of x) of the line through the points (-2,1) and (3,5)

Mathematics
1 answer:
masha68 [24]3 years ago
7 0

9514 1404 393

Answer:

  y = 4/5x +13/5

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(3 -(-2)) = 4/5

The y-intercept is given by the formula ...

  b = y -mx . . . . for any point (x, y)

  b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point

So, the equation is ...

  y = mx +b

  y = 4/5x +13/5

_____

<em>Additional comment</em>

If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to <em>do</em> the work, you can use it to <em>check</em> the work.

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I need help what is -0.5 _ -0.2​
Darya [45]
-0.5 < -0.2,
because I need more characters
5 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Mrac [35]
A=44% b=36% hope this helps
6 0
2 years ago
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I missed the day we learned this, please help
love history [14]

Answer:

The slope is 1/3

Step-by-step explanation:

Take 2 points on the line, lets use (0,50) and (30,60)

                                                         x1  y1           x2  y2

Use slope formula:

y2 - y1 / x2 - x1

60 - 50 / 30 - 0

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which can be simplified to:

1/3

7 0
2 years ago
Explain how to correctly find the missing side
kotegsom [21]

Pythagorean Theorem

a² + b² = c²

c = 13

a = 4

(Missing side) = b

4² + b² = 13²

16 + b² = 169

16 - 16

169 - 16 = 153

Square Root of 153 = 12.369

b = 12.369

The missing side is 12.369 (rounded to 12 as a whole number)

6 0
2 years ago
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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle
Natali [406]

Answer:

\sqrt{514} cm, 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm

But if 17cm is the longest side then:

a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm

Hope this helps!

4 0
3 years ago
Read 2 more answers
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