1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kompoz [17]
3 years ago
10

Write the equation of a line in Slope Intercept Form that passes through (−2,5) and (3,15).

Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

\displaystyle y = 2x + 9

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-5 + 15}{2 + 3} = \frac{10}{5} = 2

Then, plug the coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because since you get it done much faster that way. It does not matter which ordered pair you choose:

15 = 2[3] + b

6

\displaystyle 9 = b \\ \\ y = 2x + 9

_______________________________________________

5 = 2[−2] + b

−4

\displaystyle 9 = b \\ \\ y = 2x + 9

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

You might be interested in
write the equation of the line that passes through the given points expressed in slope-intercept form. m=2/3, (-4,5)
solniwko [45]

Answer:

y = \frac{2}{3}x + \frac{23}{3}

Step-by-step explanation:

To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

y - y_1 = m(x-x_1)\\y - 5 = \frac{2}{3}(x --4)\\y - 5 = \frac{2}{3}(x+4)

Convert to slope intercept form by using the distributive property.

y - 5 = \frac{2}{3}(x+4)\\y - 5 = \frac{2}{3}x +\frac{8}{3}\\y = \frac{2}{3}x + \frac{8}{3} + 5\\y = \frac{2}{3}x + \frac{23}{3}

7 0
3 years ago
For what values of x is the expression below defined?<br> Look at the picture(15 points)
Leya [2.2K]

Answer:

D. -5 <= x < 1

Step-by-step explanation:

the values under the square-root radical must not be negative, AND

the value of the denominator must not be 0 or negative

x+5 >=0  or x >= -5

and 1-x > 0 or x < 1

So the answer is -5 <= x < 1

4 0
3 years ago
Show work please please​
Bess [88]

Answer:

can you give a word problem and not just a picture

Step-by-step explanation:

3 0
3 years ago
5. solve for x
miss Akunina [59]

Answer:

x = 17, MN = 11

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

7 0
2 years ago
Help Me with this question please​
artcher [175]

Answer:

22

Step-by-step explanation:

The abs of y is 29 because 29 is positive

51 - 29 = 22

4 0
3 years ago
Read 2 more answers
Other questions:
  • Helppppppppppppppppp
    15·2 answers
  • Stella bought 12 pens for $0.59 each. She paid with a $10 bill. How much change will she receive?Immersive Reader
    15·2 answers
  • Ms smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups withou
    15·1 answer
  • Need help ASAP please and thank you
    15·1 answer
  • Which best represents the solution for the inequality-100 &gt; -5y
    6·1 answer
  • Determine if the two triangles are congruent
    6·1 answer
  • my favorite songstress gives away 25 percent of the sales of her sighnature frangrance collection to her charity.last month her
    15·1 answer
  • Interval or scale on a graph definition
    6·2 answers
  • Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
    15·1 answer
  • How do you write (4)(25)-300 as an addition equation
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!