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Temka [501]
3 years ago
10

Write the point slope form of an equation of the line that passes through (2,1) and (4,-3)

Mathematics
2 answers:
steposvetlana [31]3 years ago
5 0

Answer: y+3=-2(x-4)

Step-by-step explanation:

First, let’s find the slope. To do that just do (y2-y1)/(x2-x1). Substitute: (-3-2)/(3-2)= -5.

second, we want to put it in y=mx+b form so choose which coordinates you want to work with. Let’s say (2,1). So, 1=-5(2)+b

*(the one represents the y value, the -5 is slope and 2 is the x value)*

now just solve for b. b= 11

so the equation is: y=-5x+11

now, you can solve for the choices (I mean put them in y=Mx+b form) or just substitute in the coordinates to see which equation will work. In this case for choice w if we do 1+3=-2(2-4), that will be the answer.

dolphi86 [110]3 years ago
3 0

Answer:

b

Step-by-step explanation:

1. find the slope

y2-y1/x2-x1

-3-1=-4

4-2=2

=-2-------this is our slope

point slope equation

y-y1=m(x-x1)

y+3=-2(x-4)

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Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

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3 years ago
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galben [10]

<u><em>Answer:</em></u>

<u>The rule is: </u>

T(x) = 8x + 20

<em><u>Explanation:</u></em>

<u>We are given that:</u>

<u>The rule for the amount that one friend pays is:</u>

C(x) = 2x + 5

<u>Now, we know that:</u>

Each of the four friends will pay the entry fee which is $5 per person

The 4 friends will play the same number of games represented by x

<u>This means that:</u>

We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4

<u>This means that:</u>

T(x) = 4 * C(x)

T(x) = 4(2x + 5)

T(x) = 8x + 20

Hope this helps :)

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6 0
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