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svarner2001
01.10.2019 •
Mathematics
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
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Ответ:
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 =
=
= - 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
Ответ:
A.y = -x + 7
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
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
__________________________________________________________
8 = -1[-1] + b
1
7 = b
** 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.
Ответ:
compact disc
Step-by-step explanation: