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What is the equation, in slope-intercept form, of the line that contains the points (-1, 8) and (4, 3)?

A. y = -x + 7
B. y = x - 7
C. y = x - 1
D. y = 7x - 1

What is the equation in slopeintercept form of the line that contains the points 1 8 and 4 3 A y x 7 B y x 7 C y x 1 D y 7x 1 class=

Respuesta :

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 8) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3-8}{4+1}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1, thus

y = - x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (4, 3), then

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - x + 7 → A

BasketballEinstein

Answer:

A. y = -x + 7

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]-\frac{8 + 3}{1 + 4} = -\frac{5}{5} = -1[/tex]

Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done alot faster. It does not matter which ordered pair you choose:

3 = -1[4] + b

-4

7 = b

[tex]y = -x + 7[/tex]

__________________________________________________________

8 = -1[-1] + b

1

7 = b

[tex]y = -x + 7[/tex]

** 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.

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