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lidiya [134]
3 years ago
15

(3,7)(2,6) Find the equation for the line that falls through the two ordered pairs

Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0

Answer: The equation for the two given points is y=x+b


Step-by-step explanation:

Step 1. First find the slope: 6-7/2-3 = -1/-1=1. The slope is just 1, or x. So for now, the equation is y=x+b

Step 2. We must find the y-intercept, or B. We can plug in any points to find b. Let's use (2, 6) (but you can use (3, 7) too, it doesn't matter) Plug 2 in for x, since 2 represents x, and then do the same for y. ---> 6=2+b.

Step 3. Simplify. 6=2+b. 6-2=2-2+b ---> b=4. Subtract both sides by 2 to get B.

The equation for the two given points is y=x+b

Hope this helps.

You might be interested in
Discussion for Applications of Linear Systems
Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

  • Substitution Method
  • Elimination Method
  • Graphing Method

<em>Substitution Method</em>

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

<em>Elimination Method</em>

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

<em>Graphing Method</em>

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>

<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>

<em>#learnwithBrainly</em>

6 0
3 years ago
2х + Зу = 3 y = 8 – 3х​
GaryK [48]

Answer: Point form: ( 3 , -1 )

              Equation form: X= 3 and Y= -1

Step-by-step explanation:

6 0
2 years ago
Round 948070 to the nearest hundred? Hurry please
qwelly [4]

Answer:

9.48

Step-by-step explanation:

6 0
3 years ago
Ella and kate play basketball last year ella scored 16 points per game kates total points for the season were 22 less than Ellis
KatRina [158]

Alright, lets get started.

Ella and kate played basketball last year.

In each game, Ella scored 16 points.

We have not given the number of games played.

So, lets suppose there are n games played last year.

So, total points of Ella will be = number of games * each game score

total points of Ella will be = n * 16 = 16 n

Kates total points for the season are 22 less than Elli's points

Means , Kates total points = 16 n - 22

This expression is similar with expression given 16 z - 22 (which is give in question)

It means z = n , means variable z means total games played in last year. : Answer

Hope it will help :)

4 0
3 years ago
How to do foils in algebra
Leno4ka [110]
Foils stands for first, outer, inner, last.

For example:

(3x + 5)(2x + 3)

Multiply the firsts together.

3x * 2x = 5x²

Now multiply the outer together.

3x * 3 = 9x

Now multiply the inners.

5 * 2x = 10x

Now multiply the lasts.

5 * 3 = 15

so the answer would be:

5x² + 9x + 10x + 15
5x² + 19x + 15


Hope this helps :)

8 0
3 years ago
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