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Mathematics, 22.06.2019 21:00 katherineweightman

Point-slope equation of the line through (6,4) and (7,2)

Answers

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Answer from: 36murrayjonte
y - 4 = -2(x - 6) or y - 2 = -2(x - 7)

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 4) and (7, 2). Substitute:

m=\dfrac{2-4}{7-6}=\dfrac{-2}{1}=-2

Using the first point

y-4=-2(x-6)

Using the second point

y-2=-2(x-7)

ansver
Answer from: priceisright11401
m =  \frac{2 - 4}{7 - 6}  \\ m =  \frac{ - 2}{1}  \\ m =  - 2
ansver
Answer from: djfluffyman999

-2

Step-by-step explanation:

You should use the formula Y2-Y1/X2-X1.


2-4/7-6

ansver
Answer from: bandithcarroyuqhi

15

Step-by-step explanation:

ansver
Answer from: lola06032003

\frac{64}{10}

\frac{32}{5}

6 \frac{2}{5}

\frac{36}{5}

7 \frac{1}{5}

\frac{72}{10}

ansver
Answer from: matthewboeckman6831

Hope this will help u.....


Complete the point-slope equation of the line through (6, 4) and (7, 2)
ansver
Answer from: orangeicecream

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (6, 4) and (x₂, y₂ ) = (7, 2)

m = \frac{2-4}{7-6} = \frac{-2}{1} = - 2

There are 2 possible point- slope equations

Using (a, b) = (6, 4), then

y - 4 = - 2(x - 6)

OR

Using (a, b) = (7, 2), then

y - 2 = - 2(x - 7)

ansver
Answer from: lilymessina94
It should be 35
Ur welcome

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